Write an equation of the line in point-slope form y-y_1=m(x-x_1) from the given point and slope. (4,6); m=2

The equation in point-slope form is .

Step-by-step explanation:

We are given the slope and a coordinate pair of a line.

Therefore, we can now label our coordinate pair and substitute our values into the formula. Our formula is:

We can label our coordinate pairs with the labeling method.

Therefore, since our two coordinates are:

We can label 4 as x₁ and 6 as y₁.

Then, we are able to determine m, or our slope.

Now, let's set up our equation.

Therefore, our line is y = 2x - 2. However, the problem asks for it in point-slope form. So, this is exactly what we have in Step 2: y - 6 = 2(x - 4).