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Chapter 3: Q 188. (page 293)

Find the equation of a line containing the given points and write the equation in slope-intercept form.

-2,8and-4,-6.

Short Answer

Expert verified

Slope-intercept form of the line isy=7x+22.

Step by step solution

01

Step 1. Given information.

Two points-2,8and-4,-6are given.

02

Step 2. Find the slope of the line.

Here, x1,y1=-2,8and x2,y2=-4,-6.

Slope of a line is given by role="math" localid="1644475183441" m=y2-y1x2-x1.

Substitute the values.

m=-6-8-4--2m=-14-2m=7

Slope fo the line is 7.

03

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

Point-slope form is y-y1=mx-x1.

Substitute the values.

role="math" localid="1644475305739" y-8=7x--2y-8=7x+14y=7x+22

04

Step 4. Write the equation in slope-intercept form.

Slope-intercept form is y=mx+b.

Therefore, the equation of the line in slope-intercept form isy=7x+22.

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