Warm up Write the equation of the line passing through the given point with the given slope. Then graph the line. 1. (-4, -3), m = 2. (8, 2), m =

answers 1. Y= ½ x – 1 2. Y= -½ x + 6

How do we use Two Points to Write an Equation? Step 1: Find the slope. Step 2: Use one of the points and your slope to solve for b. Step 3: Write your equation in slope-intercept form using slope and y-intercept

Example Write an equation for the line through these points. (-1,-5) and (-2, 3).

Your Turn: Write an equation for the line through these points. (1, 3) and (-1, -1) (-1, 6) and (7, -10) (10, -1) and (4, 2) (-14, -2) and (7, 7)

Write an equation of the line that has each pair of intercepts x-intercept: (-3,0), y-intercept: (0,6)

Your Turn: Write an equation of the line that has an x-intercept of (2,0) and a y-intercept of (0,-5).

Part 2: How do write an equation using a table? Step 1: Find the rate of change. (change in Y over change in X) Step 2: Use either point and your slope to solve for b. Step 3: Write your equation in slope-intercept form using slope and y-intercept X Y -1 4 3 6 5 7 11 10

Your Turn: Write in slope-intercept form. X Y -11 -7 -1 -3 4 19 5

Review Key Concepts Slope-intercept Form Y = mx + b Standard Form Ex. Y=-½x + 5 Standard Form Ax + By = C Ex. 2x + 3y= 5

Summary: Name the steps for writing an equation from two points?