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Chapter 3: Q 183. (page 293)

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

Points are2,6and5,3.

Short Answer

Expert verified

Slope-intercept form of the equation isy=-x+8.

Step by step solution

01

Step 1. Given information.

Two points 2,6and 3,5are given.

02

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

Slope can be denoted by m and is defined as m=y2-y1x2-x1where x1,y1=2,6andlocalid="1644422138141" x2,y2=5,3.

Find the slope.

m=3-65-2m=-33m=-1

So, slope of the line is-1.

03

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

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

Substitute the values.

y-6=-1x-2y-6=-x+2y=-x+8

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=-x+8.

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