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Answer:
y = -x/4 + 7/2
Step-by-step explanation:
Find the slope
( -2 , 4) ( 6 , 2)
m = (y2 - y1)/(x2 - x1)
x1 = -2
y1 = 4
x2 = 6
y2 = 2
m = ( 2 - 4)/( 6 -(-2)
m = ( 2 -4)/(6 +2)
= -2/8
= -1/4
Using point slope form equation
y - y1 = m( x - x1)
Using the second point
( 6 , 2)
x1= 6
y1=2
m = -1/4
y - 2 = -1/4(x - 6)
y - 2 = -(x - 6)/4
Open the bracket with -
y - 2 = (-x + 6)/4
y = ( -x + 6)/4 + 2
LCM = 4
y =( -x + 6 + 8)/4
y = (-x + 14)/4
Rearrange using slope intercept form
y = mx + c.
y = -x/4 + 14/4
We can break 14/4 by dividing by 2
y = -x/4 + 7/2
If f(x) = -2x + 2, f(5) can be found by substituting in the value 5 for x in the equation:
f(5) = - 2(5) + 2
Our first step in simplifying this expression is to perform the multiplication as outlined by the order of operations (PEMDAS).
f(5) = -10 + 2
Finally, we must get our final answer by adding together the remaining terms.
f(5) = -8
Hope this helps!
