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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?

Respuesta :

texaschic101
y + 4 = 3(x + 2)
y + 4 = 3x + 6
y = 3x + 6 - 4
y = 3x + 2 <=== slope intercept form

Answer:

[tex]y=3x+2[/tex]

Step-by-step explanation:

We are given equation as

[tex](y+4)=3(x+2)[/tex]

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

so, we can use slope-intercept formula

[tex]y=mx+b[/tex]

where m is a slope

b is y-intercept

so, we can write our equation in this form

[tex](y+4)=3(x+2)[/tex]

Distribute 3

[tex]y+4=3\times x+3\times 2[/tex]

[tex]y+4=3x+6[/tex]

Subtract both sides by 4

[tex]y+4-4=3x+6-4[/tex]

[tex]y+4-4=3x+6-4[/tex]

[tex]y=3x+2[/tex]

So, slope-intercept form of equation is

[tex]y=3x+2[/tex]


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