1. Find Slope
m = y2-y1/x2-x1
m = -6 - 5/2-4
m = -11/-2
m = 11/2
2. Write equation with know information
y = mx + b
y = 11/2x + b
3. Choose any of the two points (doesn’t matter which in you choose) and replace the x and y value into the equation
y = 11/2x + b (4,5)
5 = 11/2(4) + b
5 = 22 + b
Use algebra and solve for b
5 - 22 = b
b = -17
State all the information you know
m = 11/2 b = -17
Write the equation
y = 11/2x - 17
Answer:
See below
Step-by-step explanation:
This is a parabola in vertex form where the vertex is (-2,7) and the parabola is vertically compressed by a factor of 3.
Answer:
x^2 + y^2 = r^2
Step-by-step explanation:
See image. "An angle in standard position" means the vertex (point part) of the angle is at the origin (0,0). And one side of the angle is glued onto the x-axis. The other side of the angle is free to rotate around the axis. That's the terminal side. Then there's a point P (x,y) on that side. See image. And r is labelled there. This set up makes a right triangle. So I put Pythagorean theorem as the answer here, but honestly if you are learning any right triangle theorems or trigonometry, you could use this set up. The leg that lays along the x-axis is x units long and the other leg is y units long. The hypotenuse is r units long.