Question

1. A line goes through the points (4, 5) and (2, -6). Write the equation of the line in point-slope form. Show your work for full credit. (Show how you went from those two points to having the equation in point-slope form?) Circle your answer (4 points)

Answer 1

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