Answer: C . The slope is -4/3 and the y-intercept is 4.
Step-by-step explanation:
Using the two given points, we will use them to evaluate the slope and the y intercept.
(-1.5,6)
( 4.5,-2)
To find the slope we will find the difference in the y coordinates of the points and divide it by the difference in the x coordinates of the point.
6-(-2) = 8
-1.5 - 4.5 = -6
Slope : 8/-6= -4/3.
Since the slope is -4/3, we will use the formula y= mx + b to find the y intercept. In the formula y= mx + b, the slope is m and b is the y intercept.
Use one of the given points, and input its x and y values into the formula including the slope to solve for b(the y-intercept).
We will use the point, ( -1.5,6)
6 = -4/3(-1.5) + b
6 = 2 + b
-2 -2
b = 4.
b is indeed equal to 4 because it even indicates on the graph that the y intercept is 4 which is where x is equal to 0.
