Slope-Intercept Form
Point-Slope Form
Standard Form
Graphing/Intercepts
Word Problems
100
What is the slope of the equation y=2x+10?
The slope is 2.
100
What is the template for point-slope form?
y-y1=m(x-x1)
100
Is this in standard form?
3x-4y=-18
Yes, this is in standard form.
100
What is the x-intercept in the equation:
4x+2y=20
X-Intercept is: x=5 (5,0)
100
Write an equation that can be used to find what ticket prices to set in order to raise $3800:
Your school is sponsoring a pancake dinner to raise money for a field trip. You estimate that 200 adults and 250 children will attend. Let x represent the cost of an adult ticket and y represent the cost of a child ticket.
Equation:
200x+250y=3,800
200
What is the y-intercept in the equation y=6x+20?
The y-intercept is 20.
200
Given m=3 and the coordinate point (8,4) put into point-slope form.
Point-slope form: y-4=3(x-8)
200
What is the second way we could write this in standard form?
-4x+6y=8
The second way we could write this in standard form is:
4x-6y=-8
200
What is the y-intercept of the equation?
6x+3y+2y=10
Y-intercept is: y=2 (0,2)
200
Write an equation that can be used to determine how many hot dogs and how many sodas were sold:
You are running a concession stand at the basketball game. You sell hot dogs for $1 and sodas for $0.50. At the end of night, you made $200. Let x represent the number of hot dogs sold and y represent the number of sodas sold.
Equation:
1x+0.50y=200
300
Given m=4 and the coordinate point (0,-9). What is the equation in slope intercept form?
The equation in slope-intercept form is y=4x-9.
300
What is the coordinate point in the equation below?
y+3=8(x-2)
The coordinate point is: (2,-3)
300
Write in standard form:
6y+18=2x
Standard Form:
-2x+6y=-18
300
What is the x and y-intercept of the graph?
X-Intercept: (-2,0)
Y-Intercept: (0,4)
300
Write an equation to model the situation:
You have $6 to spend on lunch today. The drinks cost $1.25 each and the salad costs $0.20 each.
If you bought 5 salads, how many drinks did you buy?
Equation: 1.25x+0.20y=6
x=4
4 drinks were bought
400
Put the following into slope-intercept form: 4y+2x=8
Slope-intercept form is y=-1/2x+2
400
Given the two coordinate points (8,-2) & (7,3) put into point-slope form using the coordinate point (8,-2).
Point-Slope form: y+2=-5(x-8)
400
Write in standard form:
2y-2/3x=6
Standard form:
-2x+3y=18
400
Write the equation for the line in slope-intercept form:
Equation in Slope-Intercept is:
y=2x+1
400
Write an equation that models the situation:
The costs of general admission and student tickets to a high school football game are $7 and $4 respectively. The ticket sales for one game totaled $11,200.
If 671 general admission tickets were sold, how many student tickets were sold?
Equation: 7x+4y=11,200
6,503 student tickets were sold.
500
Write the following in slope-intercept form:
3y-6x+1=2x+8y-3
Slope-Intercept form is: y=-8/5x+4/5
500
Convert the point-slope to slope-intercept form:
y+3=7(x-2)
Slope-Intercept form: y=7x-17
500
Write in standard form:
4y+5/6x-3=4-3y
Standard Form:
5x+42y=42
500
Convert the equation to slope-intercept and then graph it:
y-3=2(x+4)
Equation in Slope-Intercept:
y=2x+11
Graph it!
500
Write an equation to model the situation and answer the given question:
Madison streams Netflix for $10.99 a month and Spotify for $5.99 a month. If she spent $96.88 total and had Netflix for five months, how many months did she have Spotify?
Madison had Spotify for seven months.