Question

A line goes through the points (0,-5) and (-2,-9). Write the equation of the line in the form y=mx+b.

A. y = 2x - 5
B. y = -2x + 5
C. y = -2x - 5
D. y = 2x + 5

Answer 1

The equation of the line passing through the points (0,-5) and (-2,-9) is y = 2x - 5, calculated by finding the slope and using the y-intercept from one of the points.

Step-by-step explanation:

To write the equation of the line in the form y = mx + b, we need to determine the slope (m) and the y-intercept (b) of the line. The slope is calculated by finding the change in y over the change in x between the two given points (0,-5) and (-2,-9). The slope (m) is therefore (rise/run) = (-9 - (-5))/(-2 - 0) = (-4)/(-2) = 2. Next, using one of the points to solve for b, we take the point (0, -5) which indicates that the y-intercept is -5 since at x=0, y=-5. Our equation becomes y = 2x - 5.