Analyze the linear function whose slope is −3 and passes through the coordinate pair (−2,9) . Which linear function matches this line?

1 answer

The linear function that matches the given line can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Since the slope is given as -3, the linear function is y = -3x + b.

To find the value of b, we can substitute the coordinates (-2,9) into the equation:
9 = -3(-2) + b
9 = 6 + b
b = 9 - 6
b = 3

Therefore, the linear function that matches the given line is y = -3x + 3.