Question

Which equation is parallel to the graph of y = 2x-5 and goes through the point (3,9)

And why is it right?

Answer 1

Explanation:

y = 2x - 5

Slope of line is 2.

Slope of any parallel to the line is also 2.

You chose y = 3x - 5, which has a slope of 3.

Point-slope equation for line of slope 2 passing through (3,9):

y-9 = 2(x-3)

The answer choices are all in slope-intercept form, so rearrange the equation.

y = 2x - 6 + 9 = 2x + 3