Slopes

x & y-intercepts

100

Find the x-intercept and y-intercept for 3x + 2y = 36? Must be written as an ordered pair.

x-intercept (12,0)

y-intercept (0,18)

200

Find the x-intercept and y-intercept for 5x + 3y = 15? Must be written as an ordered pair.

x-intercept (3,0)

y-intercept (0,5)

300

Find the x-intercept and y-intercept for 4x + 2y = 24? Must be written as an ordered pair.

x-intercept (4,0)

y-intercept (0,12)

400

Find the x-intercept and y-intercept for 6x + 3y = 42? Must be written as an ordered pair.

x-intercept (7,0)

y-intercept (0,14)

500

Find the x-intercept and y-intercept for 7x + 5y = 105? Must be written as an ordered pair.

x-intercept (15,0)

y-intercept (0,21)

Slope of two points

100

Find the slope m.  (17,-13) and (17,8)

m = Undefined

200

Find the slope m.  (-4,-7) and (-6,-4)

m = 11/2

300

Find the slope m.  (1,-19) and (-2,-7)

m =-4

400

Find the slope m.  (19,-1) and (20,-1)

m = 0

500

Find the slope m.  (19,-2) and (-11,10)

m = -2/5

Point-slope form

100

Write an equation that passes through the point (4,-3) and has a slope

m = -3/19

y + 3 = -3/19(x - 4)

200

Write an equation that passes through the points (9,3) and (19,-17)

y - 3 = -2(x - 9) or y+17=-2(x-19)

300

Identify the slope, m and the point, (x,y) from the equation y + 5 = -4(x - 2).

m = -4 and point (2,-5)

400

Write an equation that passes through the point (-18,24) and has a slope m = 2

y - 24 = 2(x + 18)

500

Write the equation of a line that passes through a point (-5,-19) and has a slope 

m=3/4

y+19=3/4(x+5)

Slope-intercept form

100

Identify the slope, m and the y-intercept, b from the equation. 

y=-5/2x-5

m=-5/2 and b=5

200

Write the equation of a line that passes through a point (0,-7) and has a slope 

m=-4/3

y=-4/3x-7

300

Write an equation of a line that passes through the points (0,2) and (-4,-8).

y = 5/2x+2

400

Identify the slope, m and y-intercept, b in the following equation x + 2y = -8

m=-1/2 and b = -4

500

Write the following 8x + 3y = -9 in slope-intercept form.

y=-8/3x-3

Equations

100

Write the following 3x + 2y = 36 in slope-intercept form.

y=-3/2x+18

200

Write the equation of a line that passes through a point (-3,-6) and has a slope m = 0.

y = -6

300

Write the following 6x + 3y = 42 in slope-intercept form.

y = -2x + 14

400

Write the equation of a line that passes through a point (-3,-6) and has a slope m = undefined.

x = -3

500

The cost for 10 dance lessons is $105. The cost for 15 dance lessons is $175.

a) Write a linear equation to find the total cost C for lessons l.

b) Use the equation to find the cost for 4 lessons.

a) C - 10 = 14(l-105) or C-15=14(l-175) b) $21