Linear Equations

Slope

100

Formula for finding slope

What is (x₂-x₁)/(y₂-y₁)?

200

slope of the line y=-2/5x+2

What is -2/5?

300

slope of line parallel to y=1/2x+3

What is 1/2?

400

slope of a line perpendicular to y=3/2x-3

What is -2/3?

500

(17, -17), (13, 11)

What is -7?

Slope-Intercept Form

100

Slope-intercept form

What is y+mx+b

200

equation of a line with y-intercept of 2 and a slope of 4/5

What is y=4/5x+2?

300

equation of a line parallel to y=4x-5 with a y-intercept of -3

What is y=4x-3?

400

equation of a line perpendicular to y=-5/8x with a y-intercept of (0, 2)

What is y=8/5x+2?

500

equation of a line through points (8, 6) and (0, 4)?

What is y=-1/4x+4?

Point-Slope Form

100

Point-slope form

What is y-y₁=m(x-x₁)?

200

through (-1, -2) with a slope of 7

What is y+2=7(x+1)?

300

through (1, 0) and parallel to y=5x

What is y=5(x-1)?

400

through (-5, -1) and perpendicular to y=-4

What is 0=x+5?

500

through (0, 5) and (3, 2)

What is y-5=-x?

Midpoint

100

Mid-point formula

What is ((x₁+x₂)/2, (y₁+y₂)/2)?

200

(7, -2), (1, 0)

What is (4, -1)?

300

(-10, -10), (0, -10)

What is (-5, -10)?

400

(-4, 10), (-7, -4)

What is (-11/2, 3)?

500

(-1, -10), (-8, 4)

What is (-9/2, -3)?

Distance

100

Distance Formula

What is sqrt((x₂-x₁)²+(y₂-y₁)²)?

200

(8,-6), (-3, 2)

What is 13.6?

300

(7, 8), (-7, 8)

What is 19.1?

400

(2, 8), (-1, 7)  

What is sqrt(10)?

500

(-2, -4), (8, 0)

What is 2sqrt(29)?