Write the equation of a line that passes through (4,-10) and has a slope of 2, please!

y = 2x - 18

Step-by-step explanation:

There are lots of different methods to do these types of questions, but this is the way i like to do it.

Coordinate (x1, y1) : (4, -10) and Gradient (m): 2

Start with this generic equation:

y- y1 = m(x-x1)

Substitute in the values they have given you:

y - (-10) = 2(x-4)

This becomes:

y + 10 = 2x - 8

Keep solving by moving the 10 over to the other side:

y = 2x -8-10

y = 2x - 18

An easy way to double check:

1) the coefficient of x is the slope. We got 2x, and the slope is 2, so that's correct.

2) Substitute x=4 into the equation, and we get -10, which is the exact coordinate that they gave us. This is also right.

Hope this helped : )

i need a picture

step-by-step explanation: