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

Answer:

$y=3x+2$

Step-by-step 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

$y+4=3\times x+3\times 2$

$y+4=3x+6$

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

$y=3x+2$