Question

Which of the following is the equation for a line parallel to y=2x−5 and having a y-intercept of −3? Select one: a. y=−3x−5 b.y=2x−3 c. y=12x−5 d.y=−12x−3

Answer 1

When we write a line equation in the form

$y=mx+q$

m is the slope of the line, and q is the y-intercept.

Since we want the y-intercept to be -3, our line will look like

$y=mx-3$

In order to fix the slope, remember that two parallel lines have the same slope. So, the slope of the given line y=2x-5 is 2, and since we want a line parallel to this line, our slope will be 2 as well.

Plugging the values, we can finish the equation:

$y=2x-3$