Question

Write the equation of a line with a slope of -2 passing through the point (-8, 2) in y-intercept form.

a) y = -2x + 4
b) y = -2x - 12
c) y = -2x - 4
d) y = -2x + 12

Answer 1

After substituting the given slope and point into the point-slope formula, the equation of the line is y = -2x - 14, which does not match any of the provided options.

Step-by-step explanation:

To write the equation of a line in y-intercept form, which is y = mx + b, we need two pieces of information: the slope (m) and the y-intercept (b). You've given the slope as -2, and the line passes through the point (-8, 2).

We can use the point-slope formula to plug in the values we have:

y - y1 = m(x - x1)

Substituting the point (-8, 2) into the formula, we have:

y - 2 = -2(x + 8)

y - 2 = -2x - 16

Now, solve for y to get the y-intercept form:

y = -2x - 16 + 2

y = -2x - 14

Thus, none of the options provided are correct, since the equation of the given line is y = -2x - 14.