Question

Complete the equation of the line through (-8, -2) and (-4, 6). Use exact numbers.

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, -2) and (-4, 6) can be found using the slope-intercept form formula. The correct answer is option c: y = 2x - 18.

Step-by-step explanation:

The equation of the line through (-8, -2) and (-4, 6) can be found using the slope-intercept form formula: y = mx + b, where m is the slope and b is the y-intercept.

First, calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the values, we get: m = (6 - (-2)) / (-4 - (-8)) = 8/4 = 2.

Next, choose one of the given points and plug it into the formula to solve for b. Using (-8, -2): -2 = 2(-8) + b. Solving for b, we get: b = -2 - 16 = -18.

Therefore, the equation of the line is: y = 2x - 18. This means that the correct answer is option c.