Find the equation of the linear function represented by the table below in slope-intercept form.
y -5, 3, 11, 19, 27
x 0, 1, 2, 3, 4,
To find the equation of the linear function represented by the table, we need to find the slope and the y-intercept.
First, let's find the slope. The formula for slope is:
slope = (change in y) / (change in x)
We can choose any two points from the table to find the slope. Let's choose the first and last points: (0, -5) and (4, 27).
change in y = 27 - (-5) = 32
change in x = 4 - 0 = 4
slope = 32 / 4 = 8
Now, let's find the y-intercept. The y-intercept is the value of y when x = 0. From the table, we can see that when x = 0, y = -5. So, the y-intercept is -5.
Now we have the slope (8) and the y-intercept (-5). We can plug these values into the slope-intercept form of a linear equation:
y = mx + b
where m is the slope and b is the y-intercept.
Therefore, the equation of the linear function represented by the table in slope-intercept form is:
y = 8x - 5