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Chapter 4: Q68. (page 188)

Write an equation in slope-intercept form for the line that satisfies the following set of conditions.

passes through 3,7-2,-3.

Short Answer

Expert verified

The solution is y=2x+1.

Step by step solution

01

Step 1- Consider the set of conditions.

Consider the points x1,y1=3,7,x2,y2=-2,-3.

02

Step 2- Step description.

The slope intercept form is given by the formula y=mx+b, where m is the slope.

The slope can be calculated by the formula m=y2-y1x2-x1.

03

Step 3- Step description.

Find the slope of the points as follows:

m=y2鈭�y1x2鈭�x1m=鈭�3鈭�7鈭�2鈭�3m=鈭�10鈭�5m=2

Substitute the value of mand the set of points x1,y1=3,7in the slope intercept equation as follows:

y=mx+b7=2(3)+b7鈭�6=bb=1

04

Step 4- Step description

Now substitute the value of slope and bin the slope intercept form as follows:

y=mx+by=2(x)+1y=2x+1.

Thus, the slope intercept form isy=2x+1.

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