Answer:
The equation in point-slope form is .
Step-by-step explanation:
We are given the slope and a coordinate pair of a line.
- Slope: 2
- Coordinate Pair (x, y): (4, 6)
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:
- x = 4
- y = 6
We can label 4 as x₁ and 6 as y₁.
Then, we are able to determine <em>m</em>, or our slope.
- m = 2
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).