Question

What is the equation of the line that passes through the given points (-2, -1) and (0, -5)?

a) y = -2x - 1
b) y = 2x - 1
c) y = -2x - 5
d) y = 2x - 5

Answer 1

The equation of the line that passes through the points (-2, -1) and (0, -5) is y = -2x - 5.

Step-by-step explanation:

To find the equation of the line that passes through the points (-2, -1) and (0, -5), we first calculate the slope (m) using the formula m = (y2 - y1) / (x2 - x1). With the two points, this becomes m = (-5 - (-1)) / (0 - (-2)) = -4 / 2 = -2. Now that we have the slope, we can use one of the points to find the y-intercept (b) using the formula y = mx + b. With point (0, -5), since x is 0, b is equal to -5. Hence, the equation of the line is y = -2x - 5.