Resource Sampler - Pearson

Name Class Date
5-4 Enrichment
Point-Slope Form
Point-slope form can be used to quickly write the equation of a line when given
one point on the line and the slope of the line. If two points are given, there is
an additional step of determining the slope between those two points.
There are special cases for which the equation of a line can be written quickly.
1. Write an equation in point-slope form for the line with slope m that has
x-intercept (a, 0).
2. Write an equation in point-slope form for the line with slope m that has y-
intercept (0, b).
3. Use your result from Exercise 1 to write an equation in point-slope form for the
line with slope 3 that has x-intercept (–1, 0).
4. Use your result from Exercise 2 to write an equation in point-slope form for the
line with slope –4 that has y-intercept (0, 2).
5. A line has x-intercept (a, 0) and y-intercept (0, b).
a. Write an equation in point-slope form for the line using the x-intercept.
b. Write an equation in point-slope form for the line using the y-intercept.
c. Show that the equations you wrote in parts (a) and (b) are equivalent.
Prentice Hall Algebra 1 • Teaching Resources
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