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

Answer 1

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

Given two points on the graph: (2,4) and (-3,-1), we can use the slope formula to find the value of m, which represents the slope of the line.

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

Using the value of m in the equation, we can replace it with 1:
y = 1x + b

Now we need to find the value of b. We can substitute the coordinates of one of the given points into the equation and solve for b. Let's substitute the point (2,4):
4 = 1(2) + b
4 = 2 + b
4 - 2 = b
b = 2

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