Find the equation of the linear function represented by the table below in slope-intercept form. y x 0 1 2 3 4 -5 3
To find the equation of the linear function, we can use the slope-intercept form, which is given by:
y = mx + b
Where:
m is the slope of the linear function
b is the y-intercept of the linear function
To find the slope, we can choose any two points from the table and calculate the change in y divided by the change in x.
Let's choose the points (0, -5) and (3, 3):
Slope (m) = (change in y)/(change in x) = (3 - (-5))/(3 - 0) = 8/3
Now, we have the slope (m = 8/3).
To find the y-intercept (b), we can substitute the coordinates of any point in the slope-intercept equation and solve for b.
Let's use the point (0, -5):
y = mx + b
-5 = (8/3)(0) + b
-5 = b
Now, we have the slope (m = 8/3) and the y-intercept (b = -5).
Therefore, the equation of the linear function in slope-intercept form is:
y = (8/3)x - 5