Answer:
y = -3x + 22
Step-by-step explanation:
In this question, we have to make an equation with the given information.
First, we need to find the slope using the slope equation: m = y2-y1/x2-x1
Solve for the slope by plugging in coordinates:
m = 16 - 7/2 - 5
m = 9/-3
m = -3
Now, we know that the slope of the line is -3.
We have to find the y-intercept of the equation, to do this, we would plug in some of our given information to the y = mx + b equation.
We would use our slope (-3) and one of the coordinates to solve for b.
Solve:
7 = -3(5) + b
7 = -15 + b
Add 15 to both sides.
22 = b
We now know that our y-intercept is 22. Now we can gather all of our new information to make our equation:
y = -3x + 22
The equation of the line is y = -3x + 22
