Question

Which of the following equations has a graph PARALLEL to the line y = 4x + 7
and has an x-intercept of -2?
y = 7/2x + 7
y = -1/4x + 1/2
y = 4x - 2

Answer 1

Answer:

y = 4x - 2

Step-by-step explanation:

This equation has the same slope as the equation given which means that they are parallel lines. This equation also has a y-intercept of -2.

I graphed both equations below to show you that they are parallel.

If this answer is correct, please make me Brainliest!

Answer 2

Using concepts of linear functions, it is found that the equation y = 4x - 2 has the desired characteristics.

-----------------------

The equation of a line is given by:

$y = mx + b$

• m is the slope.
• b is the y-intercept.
• If two lines are parallel, they have the same slope.

• Line y = 4x + 7 has a slope of $m = 4$, thus, since the lines are parallel, the slope of the graph is also $m = 4$.

• According to the options, I think there was a small mistake, and that the y-intercept is -2, thus $b = -2$.
• Then, the equation of the line is:

$y = mx + b = 4x - 2$

A similar problem is given at https://brainly.com/question/2799041