Question

Complete the equation of the line through (-8,8) and (1,-10).

a) y = -2x - 6
b) y = 2x - 6
c) y = -2x + 6
d) y = 2x + 6

Answer 1

The equation of the line through (-8,8) and (1,-10) is y = -2x - 8.

Step-by-step explanation:

To find the equation of the line through (-8,8) and (1,-10), we can use the point-slope form of a linear equation: y - y1 = m(x - x1).

First, we need to find the slope of the line. The formula for slope is m = (y2 - y1) / (x2 - x1). Substituting the values from the given points, we get m = (-10 - 8) / (1 - (-8)) = -18 / 9 = -2.

Now, we can pick either one of the given points and substitute the values into the point-slope form to find the equation. Using the point (-8,8): y - 8 = -2(x - (-8)). Simplifying, we get y - 8 = -2x - 16. Moving the 8 to the other side, we have y = -2x - 16 + 8, which simplifies to y = -2x - 8. Therefore, the correct equation is a) y = -2x - 8.