How do you write y-5 =3(x-4) in slope-intercept form?

a. y = 2x - 4
b. y = 3x - 7
c. y = 2x - 17
d. y = -3x + 7

Step-by-step explanation:

The slope-intercept form of an equation of a line:

m - slope

b - y-intercept

We have the equation in the point-slope form.

Convert to the slope-intercept form:

     use the distributive property:  a(b + c) = ab + ac

        add 5 to btoh sides

Answer is B y=3x-7

Step-by-step explanation:

y-5=3(x-4)

first distribute

y-5=3x-12

then get y by itself by combining like terms

y-5=3x-12

+5       +5

y=3x-7

and there you go the answer is B y=3x-7

If brainiest is earned its greatly appreciated.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!