Question

Write the equation of the linear function shown on the graph. Enter your answer in y = mx + b form.
(2, 4) and (-3, -1)

Answer 1

First, let's find the slope (m) using the given points (2, 4) and (-3, -1):

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

Next, let's choose one of the points to substitute into the equation in order to solve for the y-intercept (b). Let's use point (2, 4):

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

Therefore, the equation of the linear function is:
y = x + 2