Slope
Equations & Solutions
Graphs
Word Problems
Is it a Solution?
100
What is the slope in this equation?
y=1/3x-3
m=1/3
100
Solve for x.
2x-10=20
x=15
100
Graph the equation:
y=1/2 x+5
100
Identify the slope in the situation below, and explain its meaning in the story,
"There are 5 inches of snow already on the ground. Snow falls at a rate of 4 inches every hour."
4 or 4/1. It means, 4 inches of snow for every 1 hour of the storm
100
Is the point (3,1) a solution to this graph? Explain.
Yes, (3,1) is a point on the line, meaning it IS a solution.
200
What is the slope of this equation?
y-8=-5(x+2)
The slope is -5.
200
Solve for x.
3(x+4)=24
x=4
200
Graph the equation:
y=2x
200
What is the slope in the situation and what is the y-intercept? Explain their meanings in context.
"Jada saved $10 in her piggy bank and earns $2 a week doing house chores."
Slope = $2 per day
Y-intercept = $10 at the start
200
Is the point (4,5) a solution to this graph?
No (4,5) is not a solution to the graph because it is NOT a point on the line.
300
What is the slope of the graph?
m=3/2 or m=15/10
300
Solve for x.
6x+2=4x-16
x=-9
300
Which equation would make this graph:
y=1/3x-3
y=1/2x-3
y=3/1x-3
y=2/1x-3
y=1/3x-3
300
Identify the Slope and Y-intercept in the following scenario, then write an equation.
Tanner wants to paint some rooms at his house so he hires a painting company. The company charges a one time fee of $200 to buy materials, then they charge $50 per hour of work.
Slope: 50/1
Y-intercept: 200
y=50x+200
300
Is (-3,3) a solution to the equation: 2x+6y=12? Use the graph to help explain your thinking.
Yes! (-3,3) is a point on the line.
It also works in the equation since:
2(-3) + 6(3) = 12
-6 + 18 = 12 YES!
400
Which line is steepest? Explain.
Line a
400
What can you put in the blanks to make the equation have Infinitely Many Solutions?
7x-10= [_]x+[_]
7x and -10
400
Write a point slope form equation for the following line:
y-1=3/2(x-2)
400
Write a slope-intercept form equation for the following scenario.
"Elvis has a bamboo plant that grows 0.5 inches per week. It is already 4 inches tall when he buys the plant."
y=0.5x+4
400
Is (3, -2) a solution to the equation: x+y=14?
Explain.
No. It does not work in the equation.
(3) + (-2) does not = 14
500
What is the slope of this table?
(Δy)/(Δx)=2/4=8/16=5/10
slope=1/2
500
What can you put in the blanks to make the equation have No Solutions?
7x-10= [_]x+[_]
7x and any number other than -10
500
Which of the equations makes this graph?
3x+2y=6
4x+6y=12
6x+4y=12
-3x-2y=6
4x+6y=12
xint: 3
yint: 2
500
Write a slope-intercept form equation for the following scenario.
"Amanda has $15,000 in her savings account. She has to pay $2,200 each month for rent at her apartment."
y=-2200x+15000
500
Is the point (3,4) a solution to the equation:
2x+y=10? Explain.
Yes! If you plug in (3,4) it works in the equation.
2(3) + (4) = 10
6 + 4 = 10 YES!