Question

Given the following system of equations and their graph below, what can be determined about the slopes and y-intercepts of the system of equations?

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Answer 1

Explanation:

As we know that the slope-intercept form of a linear equation is

`y=mx+b`

Here:

• m is the slope, and

• b is the y-intercept

Given the system of equations

`5x+2y=2`

`3x-3y=18`

Writing
`5x+2y=2` in slop-intercept form

`5x+2y=2`

`y=-(5)/(2)x+1`

here

• The slope of the equation
  `=-(5)/(2)`

• y-intercept
  `= 1`

Writing
`3x-3y=18` in slop-intercept form

`3x-3y=18`

`y=x-6`

here

• The slope of the equation
  `= 1`

• y-intercept
  `= -6`