Slope Intercept Form. Y = mx + b m is the slope b is the y-intecept (0, b) Your equation must say “y = “ Example: Y = 3x + 8 m = 3 Y-intercept (0,8) Y.

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Presentation transcript:

Slope Intercept Form

Y = mx + b m is the slope b is the y-intecept (0, b) Your equation must say “y = “ Example: Y = 3x + 8 m = 3 Y-intercept (0,8) Y = (x/4) – 10 m = ¼ Y intercept: (0, -10)

What about y = 7? Remember: Y = 0x + 7 M = 0 Y-intercept: (0,7)

Write in slope intercept form We must solve for “y” 2x + 3y = 9 -2x 3y = 9 – 2x 33 3 Y = 3 – 2xy = -2x M = -2/3 Y intercept: (0,3)

Identify the slope and the y intercept: 1). Y = 4x – 9 2). 4y = 6x + 8 3). 2x – y = 10 4). 6x + 5y = -9 Answers: 1). M = 4 y-intercept: (0,-9) 2). M = 3/2 y-intercept: (0,2) 3). M = 2 y-intercept: (0,-10) 4). M = -6/5 y-intercept: (0, -9/5)

Write the equation in slope intercept form Given m = 4, and the y- intercept is (0, -6), write the equation for the line: Y = mx + b y = 4x - 6 Example: Given the slope is (3/5) and the y intercept is (0,8), write the equation for the line: Example: Given the 2 pts write the equation for the line: (2,5) and (0,3)

Graphing using y = mx + b First, identify the slope of the equation Second, identify the y – intercept of the equation and graph the y-intercept Third, using rise over run (slope) graph the equation

Example: Y = - ½x + 1 Slope: Y intercept:

How can we determine if 2 lines are parallel or perpendicular? Example: 4X + 2y = 52x + y = 5 Identify the slope for each equation, then compare Y = (2/5)x – 3 5x + 2y = 1