Question

Find the equation of the line with the given information:

Slope = -2 and passes through (-1, 6).

A) y = -2x + 4
B) y = -2x + 8
C) y = 2x + 4
D) y = 2x + 8

Answer 1

The equation of the line with a slope of -2 passing through the point (-1, 6) is found using the point-slope form and simplifying to y = -2x + 4, making the correct answer A) y = -2x + 4.

Step-by-step explanation:

To find the equation of the line with a slope of -2 that passes through the point (-1, 6), we use the point-slope form of the equation of a line, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Substituting in our values, we get:

y - 6 = -2(x - (-1))

y - 6 = -2(x + 1)

y - 6 = -2x - 2

Adding 6 to both sides to solve for y gives us:

y = -2x + 4

Therefore, the correct answer is A) y = -2x + 4.