Question

What is the slope intercept form of the equation Y -7 equals -5 / 2 (x + 4 )

Answer 1

`y=(-5)/(2)x-3`

Explanation:

Since we've already got the formula for slope-intercept here, it's easier to solve for it. Let's grab that equation.

`y-7=(-5)/(2)(x+4)`

We'll start by distributing the slope.

`y-7=(-5)/(2)x-10`

Then we'll just add the 7 to both sides of the equation, giving us...

`y=(-5)/(2)x-3`

Answer 2

The slope intercept form of the equation is
`y=-(5)/(2)x -3`

Explanation:

Consider the provided equation.

`y-7 =(-5)/(2)(x + 4)`

The slope intercept form is:
`y=mx+c`

Convert the above equation into slope intercept.

`y-7 =(-5)/(2)(x + 4)`

`y-7 =(-5)/(2)x + (-5)/(2)* 4`

`y=-(5)/(2)x -10+7`

`y=-(5)/(2)x -3`

Hence, the slope intercept form of the equation is
`y=-(5)/(2)x -3`