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

Answer 1

To find the equation of the linear function, we need to determine the values of m and b in y = mx + b.

Given the points (2,4) and (-3,-1), we can use the slope formula to find the slope (m):

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

Now that we have the slope (m = 1), we can substitute one of the given points and the slope into the equation to solve for b:

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

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