Question

Which is the equation of the line, in point-slope form, that has a slope of 2 and passes through the point (4,-7)?

Answer 1

Y = 2x - 15

Explanation:

You have to memorize point-slope form. Here it is:

y - y1 = m(x - x1)

Here's what you gave me:

M = 2

(x1 = 4, y1 = -7)

The x1 and the y1 are the point on the line, and the M is the slope of the line.

We now substitute.

y - (-7) = (2) (x - 4)

Now you simplify it.

Multiply the 2 to each value in parenthesis.

Y + 7 = 2 (x - 4)

Y + 7 = 2x - 8

Isolate the Y by moving -7 over.

Y = 2x - 15