Question

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

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

Answer 1

First, we need to calculate the slope of the line using the two points given:

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

Next, we can use one of the points to find the y-intercept (b):

Using point (-3, -1):
-1 = 1*(-3) + b
-1 = -3 + b
b = 2

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