5 3 Slope intercept form 5 objectives 1
5. 3 Slope intercept form
5 objectives 1. Identify Slope and y-intercept 2. Graph a linear equation 3. Write an equation in slope intercept form 4. Write an equation from a graph 5. Write an equation from two points
1. Identify Slope and y-intercept y = mx + b slope Y-intercept
WHAT IS SLOPE? •
WHAT IS Y-INTERCEPT? • Positive: Shifts graph up Negative: Shifts graph down
2. Graph a linear equation Graph this first • Then this
Graph this first • Then this
YOU TRY •
REMEMBER!! y = mx + b slope Y-intercept
3. Write the equation of a line that has a y-intercept of -3 and a slope of -4. 1. y = -3 x – 4 2. y = -4 x – 3 3. y = -3 x + 4 4. y = -4 x + 3
Write the equation of a line that has a yintercept of 10 and a slope of 2/3. 1. y = -2/3 x – 10 2. y = -10 x – 2/3 3. y = 2/3 x + 10 4. y = 2/3 x - 10
Write an equation that has a slope of 5/1 and a y-intercept of 2 y = 5/1 x + 2
4. Write an equation from a graph You are given a graph. 1. Find the y-intercept = 1 2. Pick two points and find the slope Slope is 2 -1 2 -0 or 1/2 3. Write the equation y = 1/2 x + 1
Partners You are given a graph. 1. Find the y-intercept 2. Pick two points and find the slope 3. Write the equation
Partners You are given a graph. 1. Find the y-intercept 2. Pick two points and find the slope 3. Write the equation
5. Write an equation from two points Step 1: Find the slope with the two points Step 2: Use the slope and ordered pair together to find b Step 3: Plug in for y = mx + b
STEP 1 Here are two points (1, 5), (2, 8) Step 1: Find slope m= 3
STEP 2: Use slope and an ordered pair Step 2: y = mx + b (use this) Slope: 3 Ordered pair: (1, 5) 5 = 3(1) + b b=2
STEP 3: Plug in Slope and y-intercept Step 3: Slope = 3 b (y-intercept) = 2 y = 3 x + 2
YOU TRY Two Points: 1. (1, -3), (2, 4) 2. (3, 6), (-5, -6)
- Slides: 20