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Chapter 3: Q 187. (page 293)

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

-1,-3and-6,-7.

Short Answer

Expert verified

Slope-intercept form of the equation isy=2x+5.

Step by step solution

01

Step 1. Given information.

Two points-1,-3and-6,-7.

02

Step 2. Find the slope of the line.

Here, x1,y1=-1,-3and x2,y2=-6,-7.

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

Substitute the values.

role="math" localid="1644470979415" m=-7-3-6--1m=-10-5m=2

Slope of the line ism=2.

03

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

Point-slope form isy-y1=mx-x1.

Substitute the values.

y-3=2x--1y-3=2x+2y=2x+5

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=2x+5.

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Most popular questions from this chapter

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.

f(x)=2.

In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope鈥搃ntercept form.

line y = 鈭�3x + 6, point (1, 鈭�5)

Graph the equation-x+4y=8using the intercepts.

Find the equation of a line with slope -1and y-intercept(0,-3).

Use graph of y=3x-1. For each ordered pair, decide :

(a) Is the ordered pair A(0,-1),B(2,5)a solution to the equation.

(b) Is the point A(0,-1),B(2,5)on the line?
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