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Chapter 4: Q. 468 (page 540)

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.

liney+2=0, point(3,-3)

Short Answer

Expert verified

Equation in slope-intercept form isy=-3.

Step by step solution

01

Step 1. Given information

Line y+2=0

Point (3,-3)

02

Step 2. Finding the slope of given line

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

Slope of given line is 0.

03

Step 3. Finding slope of parallel line

As parallel lines have same slope, therefore, slope of parallel line is also 0.

04

Step 4. Identifying the point

Given point =(3,-3)

So,x1=3y1=-3

05

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

Slope - intercept form,

y-y1=m(x-x1)

Putting values and simplifying,

y-y1=m(x-x1)y-(-3)=0(x-3)y+3=0

06

Step 6. Equation in slope-intercept form

y+3=0y=-3

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