Question

The equation of line AB is y = 2x + 4. What is the equation of a line parallel to line AB in slope-intercept form that contains the point (3, −2)?

Answer 1

The equation of line parallel to  y = 2x + 4 containing point (3, −2) is:

$y=2x-8$

Step-by-step explanation:

Given equation is:

y = 2x + 4

The given equation is in slope-intercept form the co-efficient of x will be the slope of line is: 2

The slope of the line parallel to given line will also be 2 as the slopes of parallel lines are equal.

So,

m=2

Slope-intercept form of equation of line is:

$y=mx+b$

Putting the value of slope

$y=2x+b$

To find the value of b, putting (3,-2) in the equation

$-2=2(3)+b\\-2=6+b\\b=-2-6\\b=-8$

Putting the values of b and m

$y=2x-8$

The equation of line parallel to  y = 2x + 4 containing point (3, −2) is:

$y=2x-8$

Keywords: Slope, Equation of line

Learn more about slope intercept form at:

• brainly.com/question/11007026
• brainly.com/question/11207748

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Answer 2

Answer:

y=2x-8

Step-by-step explanation:

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