Question

Find the equation of a line which is parallel to y= 2/5 x + 17 and passes through (-15,12)

Answer 1

y = (2/5)*x + 18

Explanation:

Because the line is parallel to the line y = 2/5 x + 17, the slope of the new line has to be the same as well. So far, we have y = (2/5)*x .

Now what we can do is plug in -15 for x and see what we get for y. Because we get -6, we need 18 more to make it 12. Because of that, the y-intercept is 18 to make the equation of the line y = (2/5)*x + 18.

Answer 2

y = 2/5x + 18.

Explanation:

The line will have the same slope of 2/5.

Using the point-slope form of a line:

y - 12 = 2/5(x - -15)

y - 12 = 2/5(x + 15)

y = 2/5x + 6 + 12

y = 2/5x + 18.