Find the Equation of a Line Slope intecept form: y = mx+b m is ? slope b is ? y intercept.

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Presentation transcript:

Find the Equation of a Line Slope intecept form: y = mx+b m is ? slope b is ? y intercept

Find the Equation of a Line y = mx + b if m = 2 and b = 3 what is the equation of the line? y = 2x + 3

Find the Equation of a Line y = mx + b if m = -4 and b = -3 what is the equation of the line? y = -4x - 3

Find the Equation of a Line y = mx + b if m = (1/3) and b = -5 what is the equation of the line? y = (1/3)x - 5

Find the Equation of a Line y = mx + b if m = (-1/2) and b = 7 what is the equation of the line? y = (-1/2)x + 7

Graphing a Line Using Slope Intercept Form y = mx + b m is slope slope is

Graphing a Line Using Slope Intercept Form y = mx + b b is ? y intecept: the point on the graph where the line intecepts the y axis

Graphing a Line Using Slope Intercept Form y = (1/2)x + 3 What is the y intercept? 3 What is the coordinate of the y intercept? (0,3)

Graphing a Line Using Slope Intercept Form y = (1/2)x + 3 What is the y intercept? 3 What is the coordinate of the y intercept? (0,3)

Graphing a Line Using Slope Intercept Form y = (1/2)x + 3 What is the Slope? (1/2) How do we interpret the slope? Move in pos. y 1 unit Move in pos x 2 units

Graphing a Line Using Slope Intercept Form y = (1/2)x + 3 What is the Slope? (1/2) How do we interpret the slope? Move in pos. y 1 unit Move in pos x 2 units

Graphing a Line Using Slope Intercept Form y = (1/2)x + 3 you can repeat this process multiple times 3 dots is good enough to draw the line

Graphing a Line Using Slope Intercept Form y = (1/2)x + 3 you can repeat this process multiple times 3 dots is good enough to draw the line

Graphing a Line Using Slope Intercept Form y = (-3/4)x - 2 What is the y intercept? -2 What is the coordinate of the y intercept? (0,-2)

Graphing a Line Using Slope Intercept Form y = (-3/4)x - 2 What is the y intercept? -2 What is the coordinate of the y intercept? (0,-2)

Graphing a Line Using Slope Intercept Form y = (-3/4)x - 2 What is the slope? (-3/4) How do we interpret the slope? Move Neg Y 3-units Move Pos X 4-units

Graphing a Line Using Slope Intercept Form y = (-3/4)x - 2 What is the slope? (-3/4) How do we interpret the slope? Move Neg Y 3-units Move Pos X 4-units

Graphing a Line Using Slope Intercept Form y = (-3/4)x - 2 you can repeat this process multiple times 3 dots is good enough to draw the line

Graphing a Line Using Slope Intercept Form y = (-3/4)x - 2 you can repeat this process multiple times 3 dots is good enough to draw the line

Graphing a Line Using Slope Intercept Form y = (1/3)x - 4 What is the y intercept? (1/3) What is the coordinate of the y intercept? -4

Graphing a Line Using Slope Intercept Form y = (1/3)x - 4 What is the y intercept? -4 What is the coordinate of the y intercept? (0,-4)

Graphing a Line Using Slope Intercept Form y = (1/3)x - 4 What is the slope? (1/3) How do we interpret the slope? Move Pos Y 1-units Move Pos X 3-units

Graphing a Line Using Slope Intercept Form y = (1/3)x - 4 What is the slope? (1/3) How do we interpret the slope? Move Pos Y 1-units Move Pos X 3-units

Graphing a Line Using Slope Intercept Form y = (1/3)x - 4 you can repeat this process multiple times 3 dots is good enough to draw the line

Graphing a Line Using Slope Intercept Form y = (1/3)x - 4 you can repeat this process multiple times 3 dots is good enough to draw the line

Point – Slope Formula y-y 1 = m(x – x 1 ) slope is (1/3) point is (2,3) Find the equation of the line. y – 3 = (1/3)(x – 2)

Point – Slope Formula y – 3 = (1/3)(x – 2) solve by getting y by itself

Point – Slope Formula y – 3 = (1/3)(x – 2) solve by getting y by itself