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

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