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## Algebra 5.6

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**Algebra 5.6**5.6 Slope Intercept Form**Learning Targets**Language Goal Students will be able to write a linear equation in slope-intercept form. Math Goal Students will be able to graph a line using slope-intercept form. Essential Questions Why do we have many forms to graph a line?**Steps for Graphing by using Slope and Intercept**• Steps for graphing by using Slope and Intercept 1. Plot the y-intercept using the point (0, #) 2. Slope = . • The numerator moves you up or down. (Up if positive, Down if negative.) • The denominator moves you left or right. (Right if positive, Left if negative) 3. Plot a point once you have moved with the appropriate slope. 4. Draw a line connecting the two points**Example Type 1: Graphing by using slope and y-intercept**Graph each line given the slope and y-intercept. A. Slope = ; y-int. = -2 B. Slope = -2; y-int. = 4**Example Type 1: Graphing by using slope and y-intercept**Graph each line given the slope and y-intercept. C.Slope =2; y-int. = -3D. Slope = ; y-int. = 1**Example 2: Writing Linear Equations in Slope-Intercept Form**• **If you know the slope of a line and the y-intercept you can write an equation that describes the line. 1. Slope is m = . 2. The y-intercept is usually in the form y-intercept = # or (0, #) That number is your b. 3. Slope intercept form is y = mx + b**Example 2, Part A:Writing Linear Equations in**Slope-Intercept Form A. Slope = , y-int. = 6 B. Slope = -12, y-int. =**Example 2, Part A: Writing Linear Equations in**Slope-Intercept Form C. Slope =1, y-int. = 0 D. Slope = 0, y-int. =**Example 2, Part B: Finding Slope Form Given Slope and a**Point • Step 1: Find the y – intercept by... • Plugging in the slope and the ordered pair. Solve for b. • Step 2: Write the equation using the slope and b. • Slope Intercept Form: • y = mx + b**Example 2, Part B: Finding Slope Form Given Slope and a**Point A. Slope = 4, (2, 5) is on the line. B. Slope = 8, (3, -1) is on the line.**Example 2, Part B: Finding Slope Form Given Slope and a**Point C. Slope = 2, (3, 4) is on the line**Example 3: Using Slope-Intercept Form to Graph**• Step 1: Find the slope and y-intercept from the equation. • Find m and b. Remember y = mx + b • Step 2: Plot the y-intercept • Step 3: Use slope to plot a second point • Step 4: Draw a line connecting the points**Example 3: Using Slope-Intercept Form to Graph**A. y = 4x – 3 B. y = - x + 2**Example 3: Using Slope-Intercept Form to Graph**C. y = 3x – 1**Additional Example 3: Changing Equations to Slope Intercept**Form • Step 1: Write the equation in slope intercept form. • Solve the equation for y. • Move everything else to the other side of the equal to sign. • Step 2: Graph the line as previously done.**Additional Example 3: Changing Equations to Slope Intercept**Form A. 3x + 2y = 8 B. 2y + 3x = 6**Additional Example 3: Changing Equations to Slope Intercept**Form C. 6x + 2y = 10**Review 5.6**Write an equation of the line and then graph. A. Slope = 1; y intercept = 4**Review 5.6**Write an equation of the line and then graph. B. Slope = ; y intercept = -2**Review 5.6**Find m and b, then graph. C. m = __________ b = __________**Review 5.6**Find m and b, then graph. D. m = __________ b = __________**Review 5.6**Find Slope Intercept Form given slope and a point. E. (0, -5), m =**Review 5.6**Find Slope Intercept Form given slope and a point. F. (4, 6), m =**Review 5.6**Write an equation in slope-intercept form of the following graphs. G. H. I.