2.2
Slope
Slope
2.3
Slope-Intercept Form
Slope-Intercept Form
2.4
Standard Form
Standard Form
2.5-2.6
Point-Slope Form
Point-Slope Form
2.7
Applications
Applications
100
What is the slope? (Simplify if possible)
-4/4=-1
100
Describe the error:
y-intercept is -3
100
Convert the linear equation in slope-intercept form:
2x+y=17
y=-2x+17
100
Write an equation in point-slope form that passes through (-1, -5) and has a slope of 2.
y+5=2(x+1)
100
An electrician charges $80 plus $32 per hour. Write a solve an equation to determine how much 2 hours of labor costs.
y=32x+80
$64 + 80 = $144
200
What is slope? (Simplify if possible)
-4/2=-2
200
Write the equation of a line in slope-intercept form whose slope is -2 and y-intercept is (0, 3).
y=-2x+3
200
Convert to slope-intercept form:
5x − 3y = 15
y=5/3x-5
200
Write an equation in point-slope form that passes through (4,-2) and has a slope of 1/4.
y+2=1/4(x-4)
200
Your family is on a ski vacation. Lift tickets for the family cost $80 per day. Snowboard rentals cost $40 per day. You purchase lift tickets for x days and snowboard rentals for y days and spend $480.
Write and solve a linear equation to determine how many days you buy lift tickets if you rent snowboards for 2 days.
80x+40y=480
x=5 lift tickets
300
What is the slope between points (2, -1) and (-4, -9)?
(-9+1)/(-4-2)=(-8)/-6=4/3
300
Write the equation of the line in slope-intercept form. (simplest form)
y=-1/2x+1
300
Determine the x- and y-intercepts.
−2x + 4y = 16
x-intercept: (-8,0)
y-intercept: (0,4)
300
Write the equation of a line that passes through (8, -7) and has a slope of -3/4 in slope-intercept form.
y+7=-3/4(x-8)
y+7=-3/4x+6
y=-3/4x-1
300
The student government is selling T-shirts for a fundraiser. They spent $280 on the shirts and will sell them for $8 each. The profit y from selling x shirts is y=8x-280 . How many shirts will the student government have to sell before breaking even?
After selling 35 shirts, they will start making a profit.
8*35=280
400
Which lines are parallel? Which lines are perpendicular? (use the color)
Parallel: red & green
Perpendicular: blue & black
400
Write the equation of the line in slope-intercept form
y=-2x
400
Determine the x- and y-intercepts:
2/5x-3/4y=12
x-intercept: (30,0)
y-intercept: (0,-16)
400
Write an equation of the line that passes through the (-4,3) and is perpendicular to y=-2x+4 in slope-intercept form.
y-3=1/2(x+4)
y-3=1/2x+2
y=1/2x+5
400
Jack bought a 24-in tree to plant in his front yard. The tree grows at an approximate rate of 9 inches per year.
Write & solve an equation to determine how many years it will take for the tree to reach 5 feet tall.
y=9x+24
5 feet = 60 inches
60=9x+24
36=9x
x=4 years
500
Are the lines PQ and RS parallel, perpendicular, or neither?
P(-3, 14) and Q(2, -1)
R(4, 8) and S(-2, -10)
NEITHER
mPQ= -3
mRS= 3
500
Write the equation of the line in slope-intercept form that passes through (2,5) and (0,5).
slope=0, y-int=5
y=5
500
Five friends go scuba diving. They rent a boat for x days and scuba gear for y days. The total spent is $1000.
a. Write an equation in standard form that represents the situation.
b. Find the intercepts.
250x+50y=1000
(4,0)
(0, 20)
500
Write the equation of the line that passes through (-4,12) and (2,-3) in slope-intercept form.
slope= (-15)/6=-5/2
y=-5/2x+2
500
You have two jobs. You earn $16 per hour as a restaurant host and $12 per hour as a hair washer. Your earnings for the day are $288.
If you worked 10 hours as a hair washer. Write and solve an equation to determine how many hours you worked as a host.
16x+12y=288
x=10.5 hours as a host