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Chapter 3: Q 3.51. (page 282)

Find the equation of a line with slopem=-25 and containing the point(10,-5).

Short Answer

Expert verified

The equation isy=-25x-1

Step by step solution

01

Step 1. Use the point-slope form

The point-slope form of an equation of a line with slope mand containing the point (x1,y1)isy-y1=m(x-x1).

02

Step 2. Identify the slope and the point

The slope is:

m=-25

The point is:

(x1,y1)=(10,-5)

03

Step 3. Substitute the values into the point-slope form

y-y1=m(x-x1)y-(-5)=-25(x-10)y+5=-25x+4y=-25x-1

The equation of the line isy=-25x-1.

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Most popular questions from this chapter

Find the equation of a line with given slope and y-intercept and write the equation in slope-intercept form.

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In the following exercises, find the equation of a line containing the given points. Write the equation in slope鈥搃ntercept form.

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