Consider the equation x−3=5.

a. multiply both sides of the equation by a constant, and show that the solution set did not change.

now, multiply both sides by x.

b. show that x=8 is still a solution to the new equation.

a. Solution did not change

b. x = 8

Step-by-step explanation:

Solution for the equation is

x−3=5

x = 5 + 3

x = 8

a.Multiply both sides of the equation by a constant, C

C*(x−3) = 5*C

C*x−3*C= 5*C

C*x = 5*C + 3*C

C*x = 8*C

x = 8*C/C

x = 8

b.Multiply both sides of the equation by x

x*(x−3) = 5*x

x^2−3*x= 5*x

x^2 = 5*x + 3*x

x^2 = 8*x

x^2/x = 8

x = 8

(x+3)(x+7)

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