Which represents the solution(s) of the system of equations, y = x2 – 2x – 15 and y = 8x – 40? determine the solution set algebraically.

(–5, –80)
(5, 0)
(5, 0) and (–5, –80)
no solutions

Option B is correct

(5, 0)

Step-by-step explanation:

Given the system of equation:

     ....[1]

           ....[2]

Equate equation [1] and [2] we have;

Subtract 8x from both sides we have;

Add 40 both sides we have;

we can write this as:

Using the identity rule:

then;

⇒x-5 = 0

⇒x = 5

Substitute in [2] we have;

y = 8(5)-40 = 40-40 = 0

⇒y = 0

Solution = (5, 0)

Therefore, the solution(s) of the system of equations is, (5, 0)

answer: 298143

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is