Section 4.3: Point-Slope Form
Practice Worksheet
Honors Algebra I
1.
1
2.
___________
Slope
4
Graph the equation 𝑦 + 2 = 5 (𝑥 − 5)
________________
Point
Graph the equation 𝑦 − 5 = 2(𝑥 − 1)
________________
Point
5.
Date: _________________________________
Graph the equation 𝑦 − 4 = 3 (𝑥 − 6)
________________
Point
3.
Name: _________________________________
4.
___________
Slope
___________
Slope
Graph the equation 𝑦 − 2 = (𝑥 − 3)
________________
Point
___________
Slope
Write an equation in point-slope form for the line through the given point with the given slope.
a)
(3, -4); m = 6
b)
1
(4, 2); m = 2
c)
(5, -8); m = -3
6. A construction company charges $15 per hour for debris removal, plus a one-time fee for the use of a trash
dumpster. The total fee for 9 hours of service is $195.
a. Write the point-slope form of an equation to find the total fee y for any number of hours x.
b.
Write the equation in slope intercept form.
c. What is the fee for the use of the trash dumpster?
7.
A line passes through the given points. Write the equation in point-slope-form, then convert it to slopeintercept form and standard form.
a)
(2, 7) and (1, -4)
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Point-slope Form
*b)
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Standard Form
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Slope-intercept Form
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Standard Form
(-2, 3) and (5, 7)
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Point-slope Form
8.
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Slope-intercept Form
1
2
Given 𝑦 − 3 = (𝑥 + 4),
a)
Graph on the coordinate plane.
b)
Write the equation in slope-intercept form.
Does the y-intercept fall on the line you
graphed in part (a)?