Preston needs to write an equation in slope-intercept form to represent the relationship between x and y in the table below. What will be the value of the y-intercept in his equation?
Table:
X:2,4,6,8
Y:-9,-6,-3,0
To find the equation in slope-intercept form, we first need to find the slope:
Using points (2, -9) and (8, 0):
Slope (m) = (0 - (-9)) / (8 - 2) = 9 / 6 = 3/2
Now we can use one of the points to find the y-intercept (b):
y = mx + b
-9 = (3/2)*2 + b
-9 = 3 + b
b = -12
Therefore, the equation in slope-intercept form is:
y = (3/2)x - 12
The value of the y-intercept in this equation is -12.