complete the equation of the line through (-10,3) (-8,-8).

y=?

1 answer

To find the equation of the line through (-10,3) and (-8,-8), we first need to find the slope of the line.

The slope (m) can be calculated using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates (-10,3) and (-8,-8), we get:

m = (-8 - 3) / (-8 - (-10))

Simplifying, we get:

m = (-8 - 3) / (-8 + 10)
m = -11 / 2

Now that we have the slope, we can use the point-slope form of the equation of a line to find the equation:

y - y1 = m(x - x1)

Substituting (-10,3) as the point (x1,y1), and the slope we calculated (-11/2) as m, we get:

y - 3 = (-11/2)(x - (-10))

Simplifying, we get:

y - 3 = (-11/2)(x + 10)

Expanding, we get:

y - 3 = (-11/2)x - 55

Rearranging the equation to solve for y, we get:

y = (-11/2)x - 52