Find the equation of the linear function represented by the table below in slope-intercept form.
x y
-3 -13
1 3
5 19
9 35
To find the equation of the linear function in slope-intercept form, we need to find the slope and y-intercept.
First, we can calculate the slope using the formula:
slope (m) = (change in y) / (change in x)
For the points (-3, -13) and (1, 3):
change in y = 3 - (-13) = 16
change in x = 1 - (-3) = 4
So, the slope is:
m = (16) / (4) = 4
Next, we can choose any one of the given points to substitute into the slope-intercept form equation (y = mx + b) to find the y-intercept, b. Let's use the point (5, 19):
19 = 4(5) + b
19 = 20 + b
b = -1
Therefore, the equation of the linear function in slope-intercept form is:
y = 4x - 1