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

Answer 1

To find the equation of the linear function in the form y=mx+b, where m is the slope and b is the y-intercept, we first need to calculate the slope m using the given points (-3, -1) and (2,4).

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

Now that we have the slope m=1, we can plug it into the formula to find the y-intercept b.

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

Therefore, the equation of the linear function in the form y=mx+b is:
y = x + 2