Question

What is an equation of the line that passes through the point (-2, -8) and has a slope of 3?

a) y=3x−2
b) y=3x−22
c) y=3x+2
d) y=3x+22

Answer 1

The equation of the line that passes through the point (-2, -8) and has a slope of 3 is y = 3x - 2.

Step-by-step explanation:

The equation of the line that passes through the point (-2, -8) and has a slope of 3 can be found using the point-slope form of a linear equation, which is y - y1 = m(x - x1). Plugging in the values (-2, -8) for (x1, y1) and 3 for m, we get y - (-8) = 3(x - (-2)). Simplifying, we get y + 8 = 3x + 6. To isolate y, we subtract 8 from both sides, giving us y = 3x - 2. Therefore, the equation of the line is y = 3x - 2 (option a).