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Chapter 3: Q 186. (page 293)

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

-5,-3and4,-6.

Short Answer

Expert verified

Slope-intercept form of the line isy=-13x-143.

Step by step solution

01

Step 1. Given information.

Two points -5,-3and4,-6are given.

02

Step 2. Find the slope of the line passing through the points.

Here, x1,y1=-5,-3and x2,y2=4,-6.

Slope of a line is given by m=y2-y1x2-x1.

Substitute the values.

m=-6--34--5m=-6+34+5m=-39m=-13

Slope of the line ism=-13.

03

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

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

Substitute the values.

y--3=-13x--5y+3=-13x+53y+9=-x-53y=-x-14

04

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

Slope-intercept form is y=mx+b.

Therefore, equation of the line in slope-intercept form isy=-13x-143.

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