Answer:
y = 3x -10
Explanation:
To do this problem, we need to do 3 things.
1. Identify the Point-Slope equation!
*This equation will help us when we have just the slope and 1 coordinate.
The equation is ⇒ y - y1 = m(x - x1)
2. Next, let's identify the slope of the equation in Part 1
The slope is always the coefficient of x!
In this case, the slope is 3!
3. The final step is to plug everything in!
Point C has 4 as the x and 2 as the y, so we will be plugging these numbers in where it says x1 and y1 in the point-slope equation.
Plug in 3 for the letter m in the equation. M is the slope.
Let's do it!
y - 2 = 3 ( x - 4 )
Now simplify this equation!
y - 2 = 3x - 12
y = 3x - 12 + 2
y = 3x -10
FINAL ANSWER: y = 3x -10
We did it! I hope I helped. Let me know if you have questions about my answer.