Write and Graph Linear Equation in Slope- Intercept Form I Can: 1)Write equations in slope-intercept form. 2) Graph equations that are written in slope-

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Objective - To graph linear equations using the slope and y-intercept.

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Presentation transcript:

Write and Graph Linear Equation in Slope- Intercept Form I Can: 1)Write equations in slope-intercept form. 2) Graph equations that are written in slope- intercept for m.

Review Slope-Intercept Form Slope-intercept form is written as: y = mx + b Slope: how slanted a line is Y-intercept: where the line touches the y-axis SLOPEY-INTERCEPT

Use a given slope and y-intercept to write an equation in slope intercept form 1) m = 3, b = 4 y = mx + bslope-intercept form y = 3x + 4substitute the values given for m and b 2)m =, b = -2 y = mx + bslope-intercept form y = x – 2 substitute the values given for m and b

Try… Use the given slope and y-intercept to write the equation in slope-intercept form: 2) m = -2, b = 5 3) m = 6, b = -2

Slope-Intercept Form The slope-intercept form is a way of writing an equation y = mx + b SLOPEY-INTERCEPT

Identify the slope and y-intercept 1) y = 3x + 4 slope: 3y-intercept: 4 2) y = – x – 8 slope: – y-intercept: – ) y = – 5x – 9slope: – 5 y-intercept: – 9

What if the equation is not in slope- intercept form? Rewrite the equation to fit the form y = mx + b Ex) 2x + y = 3 -2x -2x y = -2x + 3 Slope: -2 Y-Intercept: 3

Try… Rewrite the equation in slope-intercept form and identify slope and y-intercept. 4) 3x – 3y = 12 5) x + 4y = 6

Graph Using Slope-Intercept Form 3x + y = 2 -3x Step 1: Rewrite the equation Step 2: Identify slope & y-intercept Step 3: Plot the y-intercept Step 4: Use the slope to find the 2nd point. x 0 y slope: -3y-intercept: 2 y = -3x + 2

Try… Graph using slope-intercept form. 6) -2x – y = 5 7) x + 3y = -9