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)
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