Question

Emelina wrote the equation of a line in point-slope form as shown below. (y+4)=3(x+2) What is Emelina’s equation in slope-intercept form?

Answer 1

y + 4 = 3(x + 2)
y + 4 = 3x + 6
y = 3x + 6 - 4
y = 3x + 2 <=== slope intercept form

Answer 2

`y=3x+2`

Explanation:

We are given equation as

`(y+4)=3(x+2)`

Since, we have to write equation in slope-intercept form

so, we can use slope-intercept formula

`y=mx+b`

where m is a slope

b is y-intercept

so, we can write our equation in this form

`(y+4)=3(x+2)`

Distribute 3

`y+4=3* x+3* 2`

`y+4=3x+6`

Subtract both sides by 4

`y+4-4=3x+6-4`

`y+4-4=3x+6-4`

`y=3x+2`

So, slope-intercept form of equation is

`y=3x+2`