Answer:
y = -1/2x +5
Step-by-step explanation:
Slope-intercept form is ...
y = mx + b
Matching this to the equation you have, you see that ...
m = -2/4 = -1/2
b = 5
The equation is already in slope-intercept form. The fraction that is the slope can be reduced, but that is not essential to the form.
Answer:
The polynomial will be
.
Step-by-step explanation:
The three degree polynomial function f(x) has zeros at x = 0 and at x = 4 having multiplicity 2.
Therefore, (x - 0) and (x - 4)² will be factors of the polynomial f(x).
Hence, the polynomial will be f(x) = Ax(x - 4)² .............. (1), where A is any constant that we have to evaluate.
Now, given that f(5) = 20
So, from the equation (1) we have
20 = A(5)(5 - 2)²
⇒ 
Therefore, the polynomial will be
(Answer)
Plug the two points into the slope formula.
m = y2-y1/x2-x1
m = (-4 - 5)/(0 - 2)
m = -9/-2
m = 4.5
So the slope is 4.5