Find the equation of the linear function represented by the table below in slope-intercept form.
x 0 1 2 3 4
y 5 13 21 29 37
To determine the equation of the linear function in slope-intercept form, we need to find the slope and the y-intercept.
First, let's calculate the slope using the formula:
slope = (change in y) / (change in x)
Slope = (13 - 5) / (1 - 0) = 8 / 1 = 8
Now, let's find the y-intercept using the formula:
y = mx + b
Rearranging the formula, we have:
b = y - mx
Using any point from the table, let's choose (0, 5):
b = 5 - 8(0) = 5
Therefore, the y-intercept is 5.
Now we can write the equation in slope-intercept form:
y = mx + b
Substituting the values we found:
y = 8x + 5
Hence, the equation of the linear function represented by the table is y = 8x + 5.