Question

Analyze the equations in the graphs to find the slope of each equation the y-intercept of each equation in the solution for the system of equations equation 1: y = 50x + 122

Answer 1

Given:

`y=50x+122\ldots\text{ (1)}`
`y=1540-82x\ldots\text{ (2)}`

The general equation is

`y=mx+c`

m is a slope and c is the y-intercept.

From equation (1),

`\text{Slope = 50 and y intercept is 122}`

From equation (2)

`\text{Slope = -82 and yintercept is }1540`

From equation (1) and (2)

Substitute equation (2) in (1)

`1540-82x=50x+122`
`50x+82x=1540-122`
`132x=1418`
`x=(1418)/(132)`
`x=44`

Substitute in (2)