Slope Intercept and Point Slope Formulas. Slope Intercept Formula Y = MX + b  M is the slope of the equation  X is the input of the equation  B is.

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Presentation transcript:

Slope Intercept and Point Slope Formulas

Slope Intercept Formula Y = MX + b  M is the slope of the equation  X is the input of the equation  B is the y intercept, when x = 0  Put the following information into the formula.  The slope is -4 and the y intercept is 7  Y = -4x + 7

Slope Intercept Formula Y = MX + b

 Put the following information into the formula.  Y = 2x + 7 xy

Slope Intercept Formula Y = MX + b  Put the following information into the formula.  Y = -3x -8 xy

Standard Formula Ax + By = C  Standard formula solves the x and y intercepts  Need to solve the equation twice, once with x = 0 and once with y = 0.   3x + 5y = 15  3x = 15 5y = 15  x = 5y = 3  (5, 0)(0, 3)

Standard Formula Ax + By = C  Standard formula solves the x and y intercepts  4x + 3y = 24  4x + 3(0) = 24 4(0) + 3y = 24  4x = 243y = 24  x = 6 y = 8  (6, 0) (0, 8)

Standard Formula Ax + By = C  Standard formula solves the x and y intercepts  2x + 6y = -12  2x + 6(0) = -12 2(0) + 6y = -12  2x = -126y = -12  x = -6 y = -2  (-6, 0) (0, -2)

Standard Formula Ax + By = C  Mike has $18. He wants to buy some apples and oranges. If apples cost $2 a pound and oranges cost $3 a pound. How many pounds can he buy if he choses one fruit or the other.  2x + 3y = 18  2x + 3(0) = 18 2(0) + 3y = 18  2x = 183y = 18  x = 9 y = 6  (9, 0) (0, 6)  He could buy either 9 pounds of apples or 6 pounds of oranges.

Standard Formula Ax + By = C  Put the following equation in standard form and solve for the x and y intercepts.  y = 2x – 8  -2x + y = -8  -2x + 0 = -8 -2(0) + y = -8  -2x = -8 y = -8  x = 4  (4, 0)(0, -8)

Standard Formula Ax + By = C

Find a parallel Slope

Find a perpendicular Slope