(-3,-1), (2,4) Write the equation of the linear function shown on the graph. Enter your answer in y=MX+b form.
To find the equation of the linear function, we need to calculate the slope (M) and the y-intercept (b).
The slope (M) of a linear function can be found using the formula:
M = (change in y) / (change in x)
Given the two points (-3, -1) and (2, 4), we can calculate the slope as follows:
M = (4 - (-1)) / (2 - (-3))
M = 5 / 5
M = 1
Now, we can determine the y-intercept (b) using the slope-intercept form of the linear function, y = MX + b, and one of the points:
Using the point (-3, -1):
-1 = 1 * (-3) + b
-1 = -3 + b
b = -1 + 3
b = 2
Therefore, the equation of the linear function is:
y = 1x + 2
Simplifying:
y = x + 2