What is the equation in point-slope form of the line that passes through (3,-2) with a slope 4?

y = 4x - 14

Step-by-step explanation:

The equation of a line can be represented by y = mx + b.

We can use the information in the problem to solve for the unknown variable and find the equation of the line.

If the line goes through (3,-2), then this must be a solution to the equation. So let's plug it in:

-2 = m3 + b

But what are the two variables? m represents the slope, and we are told at the slope is equal to 4. This gives us:

-2 = (4)(3) + b

Let's solve for b!

-2 = 12 + b

-14 = b

Now, we need to use our newfound knowledge to create the equation.

y = 4x - 14

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!

4x and 6y

im not sure though