Points at (-3,-1) and (2,4)

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

1 answer

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

Slope (m) = (y2 - y1) / (x2 - x1)
= (4 - (-1)) / (2 - (-3))
= 5 / 5
= 1

Next, we can choose one of the points to substitute into the equation y = mx + b to find the y-intercept (b). Let's use the point (-3, -1):

-1 = 1*(-3) + b
-1 = -3 + b
b = 2

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