Question

Write the equation of the line with a slope of that contains the point (-2, -4).

a) y = x - 7
b) y = -1
c) y = x - 4
d) y = 1/8x + 4

Answer 1

The equation of the line with a slope of that contains the point (-2, -4) is y = x - 6.

Step-by-step explanation:

To find the equation of a line with a given slope that passes through a given point, we can use the point-slope formula. The formula is y - y1 = m(x - x1), where (x1, y1) is the given point and m is the slope. In this case, the given point is (-2, -4) and the slope is .

Using the point-slope formula, we have y - (-4) = (x - (-2)) *

Simplifying the equation, y + 4 = x + 2 *

Therefore, the equation of the line is y = x - 6, which is not listed as an option. None of the provided options are correct.