Question

4x+3y=7 x+2y=-2


put both in slope-intercept form

Answer 1

Second equation Answer:
`y=-(1)/(2)x-1`

First equation Answer:
`y=-(4)/(3)x~+(7)/(3)`

Explanation:

Concept:

The general equation of a line in slope-intercept form is given below as

`y=mx+c`

where

`m=slope`

`c=intercept`

First equation

The first equation is given below as

`4x+3y=7`

We will make y the subject of the formula to change the equation in slope-intercept form

`4x+3y=7`

subtract 4x from both sides

`4x-4x+3y=7=-4x`

`3y=-4+7`

divide both sides by 3

`(3)/(y) =(-4x)/(3) +(7)/(3)`

`y=-(4)/(3)x~+(7)/(3)`

Hence,

The equation of 4x+3y=7 in slope intercept form is given below as

`y=-(4)/(3)x~+(7)/(3)`

Second Equation

The second equation is given below as

`x+2y=-2`Subtract x from both sides
`x-x+2y=-2-x`
`2y=-x-2`divide through by 2
`(2y)/(2) =-(x)/(2) =-(2)/(2)`
`y=-(1)/(2)x-1`

Hence,

The equation of x+2y=-2 in slope-intercept form is

`y=-(1)/(2)x-1`Hope this Helps! <3

Answered by:

AshTheNeko