Given: f(x) = 3x+2 and g(x) = -4x-2 Find the point of intersection algebraically and with your calculator

x = -4/7, y = 2/7

Step-by-step explanation:

Given: f(x) = 3x + 2 and g(x) = - 4x - 2

The point of intersection of the two functions is the point at which both functions intersect. We have to solve the functions simultaneously to get the solution.

f(x) = y = 3x + 2

y = 3x + 2               (1)

g(x) = y = -4x - 2  

y = -4x - 2               (2)

Subtract equation 2 from equation 1:

0 = 7x + 4

7x = -4

x = -4/7

Put x = (-4/7) in y = 3x + 2:

y = 3(-4/7) + 2 = -12/7 + 2 = 2/7

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

the first option i believe

step-by-step explanation: