Write the equation of the linear function shown on the graph. Enter your answer in y=mx+b form.

Question

(1 point)
(2,4) and (-3,-1)

Answer 1

First, we need to find the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

m = (4 - (-1)) / (2 - (-3))
m = (4 + 1) / (2 + 3)
m = 5 / 5
m = 1

Now that we have the slope, we can use one of the points to find the y-intercept (b). Let's use (2,4):

4 = 1(2) + b
4 = 2 + b
b = 2

Therefore, the equation of the linear function is:

y = x + 2