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Chapter 3: Q 197. (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-y=6Point:(3,0)

Short Answer

Expert verified

The equation in slope-intercept form:y=2x-6

Step by step solution

01

Step 1. Given Data

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

02

Step 2. Find the slope of the given line.

The line is in slope-intercept form:

2x-y=6y=2x-6y=mx+cWecansee,m=2

03

Step 3. Find the slope of the parallel line.

Parallel lines have the same slope.

Therefore,

m鈭�=2

04

Step 4. Point slope form. 

The given point is:(3,0)

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

y-y1=m(x-x1)y-0=2(x-3)y=2x-6

05

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

Slope-interceptform:y=2x-6

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Most popular questions from this chapter

Find an Equation of the Line Given Two Points (7,1)and (5,0). Write the equation in slope鈥搃ntercept form.

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