Equations in Two Variables

Finding Slope

100

(0,1), (2,7)

What is 3?

200

(2,5),(3,1)

What is -4?

300

(1,2), (4, 7)

What is 5/3?

400

(-2,3), (7, -4)

What is -7/9?

500

(-6,-1), (4,1)

What is 1/5?

Point Slope Form

100

Passes through (1,9), slope = 2

y - 9 = 2(x - 1)

200

Passes through (4,1), slope = -3

y + 1 = -3(x - 4)

300

Passes through (-4,-5), slope = 3/4

y + 5 = 3/4(x + 4)

400

Passes through (3,-6) and (-1,2)

y + 6 = -2(x - 3)

500

Passes through (4,-4) and (8,-10)

y + 4 = -3/2(x - 4)

Slope Intercept Form

100

y = -5x + 2

m = -5

b = 2

200

y = 1/2x - 6

m = 1/2

b = -6

300

y = 3x + 4

m = 3

b = 4

400

3x + y = -4

m = -3

b = -4

500

y - 2x = 8

m = 2

b = 8

Formulas for linear equations

100

Slope equation

y2 - y 1

______

x2-x1

200

Slope intercept form equation

y= mx + b

300

standard form equation

Ax +By = C

400

Point slope form equation

y - y1 = m(x-x1)

500

If I need to find the x and y intercepts, which equation gives them to me the fastest?

Standard form