Warmups Determine the slope of the line passing through: (2,7) (4,-5)

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Presentation transcript:

Warmups Determine the slope of the line passing through: (2,7) (4,-5) Find the slope of each equation: 3x – 6y = 6 y – 2=3(x-1) Find the x- and y-intercepts: 2x + 5y = 20 y= -2x – 4

6-5 Graphing Linear Equations Objective: To graph a line in slope-intercept form.

Slope – Intercept Form y = mx +

Slope-Intercept Form y = mx + b x & y will stay letters m = slope, written as a fraction b = y-intercept, (0,b)

Steps to Graph Graph b (y-intercept) on the y-axis Use slope (as a fraction) to find your next point - rise/ run from the y-intercept Example 1: graph y = -1/3 x + 4 m = -1 = 1 = rise 3 -3 run b = (0,4) start here y-intercept

Example 2 graph y = x – 5 m = 1 = -1 = rise 1 -1 run B = (0,-5) start here!

Example 3 graph y = 4x m = 4 = -4 = rise 1 -1 run B = (0,0) start here!

Example 4 (it’s standard form) graph 3x + 2y = 12 Use the x- and y-intercepts to graph! Hint: cover up method

Examples 5 & 6 graph y = -3x + 4

Examples 7 & 8 graph

Homework Graphing using slope-intercept form 6-5 Practice