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Chapter 4: Q. 700 (page 576)

Find the equation of each line. Write the equation in slope鈥搃ntercept form.

parallel to the line y=-23x-1, containing the point (-3,8)

Short Answer

Expert verified

The equation in slope- intercept form isy=-23x+6.

Step by step solution

01

Step 1. Given information

Line y=-23x-1

Point(-3,8)

02

Step 2. Finding the slope of given line

As slope-intercept form is y=mx+c.

Slope of given liney=-23x-1is-23.

03

Step 3. Finding slope of parallel line

As parallel lines have same slope, therefore, slope of parallel line is also -23.

04

Step 4. Identifying the point

Given point (-3,8)

So,x1=-3y1=8

05

Step 5. Substituting the values in point-slope form and simplifying

Point-slope form,

y-y1=m(x-x1)

Putting values and simplifying ,

y-y1=m(x-x1)y-8=-23(x-(-3))y-8=-23(x+3)

06

Step 6. Equation in slope-intercept form

y-8=-23(x+3)y-8=-23x-2y=-23x-2+8y=-23x+6

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