You will be able to: Write an equation of a line given one point and slope.

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Presentation transcript:

You will be able to: Write an equation of a line given one point and slope

Write Equations given Point and Slope: 1. __________________________________ 2. __________________________________ 3.___________________________________ 4.___________________________________ Make a b/m/x/y chart Plug in m, x, and y Solve for b Rewrite equation in y = mx+b

1. Find the equation of the line through the point (1, -3) and has a slope of -4.

bmxybmxy (x,y) y = mx + b -3 = = b (0, 1) (-4) (1) + b -3 = -4 + b y = -4x + 1

y = -4x + 1 y = -4x x +4x 4x + y = 1 4x + y = 1

2. Write an equation of the line that passes through the point (4, 2) with a slope of 3. bmxybmxy (x,y) y = mx + b 2 = = b (0, -10) (3) (4) + b 2 = 12 + b y = 3x – 10

y = 3x – 10 y = 3x – 10 -3x + y = – 10 –1 –1 –1 3x – y=10 3x – y = 10

3. Write an equation of the line that passes through the point (-2, -5) with a slope of ½. bmxybmxy 1/ (x,y) y = mx + b -5 = = b (0, -4) (½) (-2) + b -5 = + b y = ½x – 4

y = ½x – 4 y = ½x – 4 -x -x -x + 2y = – 8 –1 –1 –1 x – 2y=8 x = 8 (2) 2y = x – 8

4. Write an equation of the line that passes through the point (5, -4) with a slope of 3/5. bmxybmxy 3/ (x,y) y = mx + b -4 = = b (0, -7) (5) + b -4 = 3 + b y = x – 7

-3x -3x -3x + 5y = – 35 –1 –1 –1 3x – 5y=35 3x – 5y = 35 (5) 5y = 3x – 35 y = x – 7 y = x – 7

5. Write an equation of the line that passes through the point (-3, 0) with a slope of 5. bmxybmxy (x,y) y = mx + b 0 = = b (0, 15) (5) (-3) + b 0 = b y = 5x + 15

y = 5x + 15 y = 5x x + y = 15 –1 –1 –1 5x – y=-15 5x – y = -15

6. Write an equation of the line that passes through the point (12, -5) with a slope of -3/4. bmxybmxy 3/ (x,y) y = mx + b -5 = = b (0, 4) (12) + b -5 = -9 + b y = x + 4 3

+3x +3x 3x + 4y = 16 3x + 4y = 16 (4) 4y = -3x + 16 y = x + 4 y = x + 4

-9 3 bmxybmxy Find the equation of the line that passes through the two points. (3, 4) 3 4

bmxybmxy y = mx + b 4 = = b (0, 13) (3) + b 4 = -9 + b y = x + 13 (-3) -3

y = -3x + 13 y = -3x x 3x + y = 13 3x + y = 13

2 3 bmxybmxy 2/3 8. Find the equation of the line that passes through the two points. (-3, 6) -3 6

bmxybmxy 2/ (0, 8) y = mx + b 6 = = b (-3) + b 6 = -2 + b y = x + 8

-2x -2x -2x + 3y = 24 –1 –1 –1 2x – 3y=-24 2x – 3y = -24 (3) 3y = 2x + 24 y = x + 8 y = x + 8