Practice
Slope-Intercept Form and Point-Slope Form Practice
Fifty original questions covering line forms, conversions, graphs, tables, and intercepts.
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Question 1
Explanation
Slope-intercept form is \(y=mx+b\), so \(m=-2\) and \(b=3\).
Question 2
Explanation
Slope-intercept form is \(y=mx+b\), so \(m=-1\) and \(b=2\).
Question 3
Explanation
Slope-intercept form is \(y=mx+b\), so \(m=0\) and \(b=1\).
Question 4
Explanation
Slope-intercept form is \(y=mx+b\), so \(m=1\) and \(b=0\).
Question 5
Explanation
Slope-intercept form is \(y=mx+b\), so \(m=2\) and \(b=-1\).
Question 6
Explanation
Substitute into \(y-y_1=m(x-x_1)\). Negative coordinates remain inside subtraction before simplifying signs.
Question 7
Explanation
Substitute into \(y-y_1=m(x-x_1)\). Negative coordinates remain inside subtraction before simplifying signs.
Question 8
Explanation
Substitute into \(y-y_1=m(x-x_1)\). Negative coordinates remain inside subtraction before simplifying signs.
Question 9
Explanation
Substitute into \(y-y_1=m(x-x_1)\). Negative coordinates remain inside subtraction before simplifying signs.
Question 10
Explanation
Substitute into \(y-y_1=m(x-x_1)\). Negative coordinates remain inside subtraction before simplifying signs.
Question 11
Explanation
Distribute: \(y-2=1x--1\). Add \(2\), giving \(y=1x+3\).
Question 12
Explanation
Distribute: \(y-1=2x-0\). Add \(1\), giving \(y=2x+1\).
Question 13
Explanation
Distribute: \(y-0=3x-3\). Add \(0\), giving \(y=3x-3\).
Question 14
Explanation
Distribute: \(y--1=4x-8\). Add \(-1\), giving \(y=4x-9\).
Question 15
Explanation
Distribute: \(y--2=5x-15\). Add \(-2\), giving \(y=5x-17\).
Question 16
Explanation
The labeled points give slope \(1\), and the graph crosses the y-axis at \(-2\). Insert both into slope-intercept form.
Question 17
Explanation
The labeled points give slope \(2\), and the graph crosses the y-axis at \(-1\). Insert both into slope-intercept form.
Question 18
Explanation
The labeled points give slope \(3\), and the graph crosses the y-axis at \(0\). Insert both into slope-intercept form.
Question 19
Explanation
The labeled points give slope \(4\), and the graph crosses the y-axis at \(1\). Insert both into slope-intercept form.
Question 20
Explanation
The labeled points give slope \(5\), and the graph crosses the y-axis at \(2\). Insert both into slope-intercept form.
Question 21
Explanation
The marked crossing point is \((-2,3)\). Its coordinates satisfy both line equations, so it is the system's solution.
Question 22
Explanation
The marked crossing point is \((-1,2)\). Its coordinates satisfy both line equations, so it is the system's solution.
Question 23
Explanation
The marked crossing point is \((0,1)\). Its coordinates satisfy both line equations, so it is the system's solution.
Question 24
Explanation
The marked crossing point is \((1,0)\). Its coordinates satisfy both line equations, so it is the system's solution.
Question 25
Explanation
The marked crossing point is \((2,-1)\). Its coordinates satisfy both line equations, so it is the system's solution.
Question 26
Explanation
Move \(y\) left and the constant right: \(1x-y=-2\).
Question 27
Explanation
Move \(y\) left and the constant right: \(2x-y=-1\).
Question 28
Explanation
Move \(y\) left and the constant right: \(3x-y=0\).
Question 29
Explanation
Move \(y\) left and the constant right: \(4x-y=1\).
Question 30
Explanation
Move \(y\) left and the constant right: \(5x-y=2\).
Question 31
Explanation
Set \(y=0\): \(0=1x-2\), so \(x=2\).
Question 32
Explanation
Set \(y=0\): \(0=2x-6\), so \(x=3\).
Question 33
Explanation
Set \(y=0\): \(0=3x-12\), so \(x=4\).
Question 34
Explanation
Set \(y=0\): \(0=4x-20\), so \(x=5\).
Question 35
Explanation
Set \(y=0\): \(0=5x-30\), so \(x=6\).
Question 36
Explanation
The table's constant rate is \(1\). Substituting \((1,2)\) into \(y=1x+b\) gives \(b=1\).
Question 37
Explanation
The table's constant rate is \(2\). Substituting \((1,2)\) into \(y=2x+b\) gives \(b=0\).
Question 38
Explanation
The table's constant rate is \(3\). Substituting \((1,2)\) into \(y=3x+b\) gives \(b=-1\).
Question 39
Explanation
The table's constant rate is \(4\). Substituting \((1,2)\) into \(y=4x+b\) gives \(b=-2\).
Question 40
Explanation
The table's constant rate is \(5\). Substituting \((1,2)\) into \(y=5x+b\) gives \(b=-3\).
Question 41
Explanation
Substitute the point: \(1=2(-1)+b\), so \(b=3\).
Question 42
Explanation
Substitute the point: \(3=3(0)+b\), so \(b=3\).
Question 43
Explanation
Substitute the point: \(5=4(1)+b\), so \(b=1\).
Question 44
Explanation
Substitute the point: \(7=5(2)+b\), so \(b=-3\).
Question 45
Explanation
Substitute the point: \(9=6(3)+b\), so \(b=-9\).
Question 46
Explanation
Subtract \(y\) and subtract \(b\) as needed to obtain \(1x-y=-2\).
Question 47
Explanation
Subtract \(y\) and subtract \(b\) as needed to obtain \(2x-y=-1\).
Question 48
Explanation
Subtract \(y\) and subtract \(b\) as needed to obtain \(3x-y=0\).
Question 49
Explanation
Subtract \(y\) and subtract \(b\) as needed to obtain \(4x-y=1\).
Question 50
Explanation
Subtract \(y\) and subtract \(b\) as needed to obtain \(5x-y=2\).
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Questions to review
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- Question 1Read slope-intercept formEasy
- Question 2Read slope-intercept formEasy
- Question 3Read slope-intercept formEasy
- Question 4Read slope-intercept formEasy
- Question 5Read slope-intercept formEasy
- Question 6Point-slope formEasy
- Question 7Point-slope formEasy
- Question 8Point-slope formEasy
- Question 9Point-slope formEasy
- Question 10Point-slope formEasy
- Question 11Convert line formsEasy
- Question 12Convert line formsEasy
- Question 13Convert line formsEasy
- Question 14Convert line formsEasy
- Question 15Convert line formsEasy
- Question 16Equation from graphMedium
- Question 17Equation from graphMedium
- Question 18Equation from graphMedium
- Question 19Equation from graphMedium
- Question 20Equation from graphMedium
- Question 21Read a system solution from a graphMedium
- Question 22Read a system solution from a graphMedium
- Question 23Read a system solution from a graphMedium
- Question 24Read a system solution from a graphMedium
- Question 25Read a system solution from a graphMedium
- Question 26Convert to standard formMedium
- Question 27Convert to standard formMedium
- Question 28Convert to standard formMedium
- Question 29Convert to standard formMedium
- Question 30Convert to standard formMedium
- Question 31Find x-interceptMedium
- Question 32Find x-interceptMedium
- Question 33Find x-interceptMedium
- Question 34Find x-interceptMedium
- Question 35Find x-interceptMedium
- Question 36Equation from tableMedium
- Question 37Equation from tableMedium
- Question 38Equation from tableMedium
- Question 39Equation from tableMedium
- Question 40Equation from tableMedium
- Question 41Find intercept parameterHard
- Question 42Find intercept parameterHard
- Question 43Find intercept parameterHard
- Question 44Find intercept parameterHard
- Question 45Find intercept parameterHard
- Question 46Equivalent line equationsHard
- Question 47Equivalent line equationsHard
- Question 48Equivalent line equationsHard
- Question 49Equivalent line equationsHard
- Question 50Equivalent line equationsHard