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Chapter 3: Q 198. (page 293)

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-intercept form.

Line:2x+3y=6Point:(0,5)

Short Answer

Expert verified

The equation in slope-intercept form:y=-23x+5

Step by step solution

01

Step 1. Given Data

Line:2x+3y=6Point:(0,5)

02

Step 2. Find the slope of the given line.

The line is in slope-intercept form:

2x+3y=63y=-2x+6y=-23x+2y=mx+cWecansee,m=-23

03

Step 3. Find the slope of the parallel line.

Parallel lines have the same slope.

Therefore,

m鈭�=-23

04

Step 4. Point slope form. 

The given point is:(0,5)

Substitute the values in the point-slope form which is:

y-y1=m(x-x1)y-5=-23(x-0)y-5=-23x

05

Step 5. Write the equation in slope-intercept form.

Slope-interceptform:y-5=-23xy=-23x+5

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Most popular questions from this chapter

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