Slope-Intercept and Standard Form of a Linear Equation.

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Presentation transcript:

Slope-Intercept and Standard Form of a Linear Equation

y = mx + b Write an equation for each graph in slope-intercept form. y = 5/3x - 3 y = - 3/5x + 2

What is the y-intercept? y = mx + b Write an equation for each graph in slope-intercept form. Where does the line cross the y-axis? y-axis What is the y-intercept? -3 b = -3

Find another point on the line? y = mx + b Write an equation for each graph in slope-intercept form. Find another point on the line? Run Find the slope. 5 3 Rise Run m = Rise y = 5/3x - 3

y = mx + b Write an equation for each graph in slope-intercept form. y = 3 x = - 4

y = 5/3x - 3 y = - 3/5x + 2 5x - 3y = 9 3x + 5y = 10 Ax + By = C Change each of the following equations into Standard Form. y = 5/3x - 3 y = - 3/5x + 2 5x - 3y = 9 3x + 5y = 10

Ax + By = C Change each of the equations into standard form.

y = 5/3x - 3 -5/3x -5/3x - 5/3x+ y = -3 (-3)(-5/3x+ y) = (- 3)(-3) Ax + By = C Changing the equations into standard form. y = 5/3x - 3 -5/3x -5/3x - 5/3x+ y = -3 (-3)(-5/3x+ y) = (- 3)(-3) 15/3x - 3y = 9 5x - 3y = 9