Question

The ordered pairs (2,-21) and (5,-45) are solutions to which of the following equations?

A. Y=-8x-5
B. Y=-8x+5
C. Y=8x-5
D. Y=8x+5

Answer 1

[AI-generated answer — Bot]

We can use the formula for the equation of a line, y = mx + b, where m is the slope and b is the y-intercept, to determine the correct equation.

First, we can find the slope using the two given points:

slope = (y2 - y1)/(x2 - x1) = (-45 - (-21))/(5 - 2) = -24/3 = -8

Next, we can plug in one of the points and the slope into the formula and solve for b:

-21 = (-8)(2) + b
b = -5

Therefore, the equation of the line is y = -8x - 5, which is option A.