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Chapter 3: Q 185. (page 293)

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

-3,-4and 5,-2.

Short Answer

Expert verified

Slope-intercept form of the line isy=14x-134.

Step by step solution

01

Step 1. Given information.

Two points-3,-4and5,-2is given.

02

Step 2. Find the slope of the line.

Here, x1,y1=-3,-4and x2,y2=5,-2.

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

Find the slope.

m=-2--45--3m=28m=14

Slope fo the line ism=14.

03

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

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

Substitute the values.

y--4=14x--3y+4=14x+34y+16=x+34y=x-13

04

Step 3. Write the equation in slope-intercept form.

Slope-intercept form is y=mx+b.

Therefore, equation in slope-intercept form isy=14x-134.

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