Finding Slope
Slope-Intercept Form
Point-Slope and Standard Form
Parallel and Perpendicular Lines
Miscellaneous
100
What is the slope of this line?
m = 2
100
What is the slope and y-intercept of the line y = -1/5x -6?
m = -1/5
b = -6
100
Identify the equation of the line graphed below.
A. 4x -5y = -20
B. 4x + 5y = 20
C. 5x - 4y = 20
D. 5x + 4y = 20
D
100
When two lines are parallel, their slope is ______.
the same
100
What are the x- and y-intercepts of this line: 2x + 4y = -20.
x-intercept = -10
y-intercept = -5
200
Draw a line with a zero slope.
a horizontal line
200
Write an equation of the line with a slope of 1/3 and a y-intercept of -7.
y = 1/3x + (-7) or y = 1/3x -7
200
Write the equation of the line that passes through (2, -1) and has a slope of -6.
y = -6x + 11
200
What slope would a line perpendicular to y = -2/3x + 5 have?
m = 3/2
200
What is the slope of the line x = 7?
m = undefined
300
What is the slope of the line that contains the points (-3, 1) and (6, -2)?
m = -1/3
300
Draw a graph of y = 1/3x + 5.
300
What is the formula for point-slope form?
What is the formula for standard form?
point-slope
y - y1 = m(x - x1)
standard
Ax + By = C
300
Which of the following lines is parallel to the line 4x + y = 5?
A. y = -1/4x - 1
B. y = 1/4x + 8
C. y = -4x + 9
D. y = 4x -2
C
300
Graph the linear equation y = -5.
Draw a horizontal line through -5 on the y axis.
400
What is the slope of the line that contains the points (13, -2) and (3, -2)?
m = 0
400
A music app charges $2 to download the app plus $1.29 per song downloaded. Write and solve a linear equation to find the total cost to download 30 songs.
y = 1.29x + 2
y = $40.70
400
To lease a new car, you must make a down payment when you sign the lease, then pay $199 per month. Six months after signing his lease, Mr. Mauer had paid $2694. Write and solve an equation (in slope-intercept form) to find the total amount he will have paid after three years.
y = 199x + 1500
y = $8664
400
Which of the following lines is perpendicular to the line y = -3/5x + 1?
A. 3x - 5y = 20
B. 3x + 5y = 10
C. 5x - 3y = 27
D. 5x + 3y = 21
C
400
Give an example of a situation that would show a negative relationship when graphed on a scatterplot.
Many possibilities:
One must go up while the other must go down
500
What is the slope of the line whose equation is 2y = x + 8?
m = 1/2
500
To serve 1 person at a local restaurant, it takes 10 minutes. To serve 5 people, it takes 18 minutes. Write and solve an equation to find the number of minutes it will take to serve a party of 8 people.
y = 2x + 8
y = 24 minutes
500
A roadside vegetable stand sells pumpkins for $5 each and tomatoes for $3 each. The total sales on a certain day were $98. If they sold 10 pumpkins, write and solve a linear equation (in standard form) to find the number of tomatoes sold.
5x + 3y = 98
y = 16 tomatoes
500
Write the equation of the line that passes through the point (6, -2) and is perpendicular to y = -3x + 7.
y = 1/3x - 4
500
Using the points (58, 96) and (63, 106), find the equation for the line of best fit.
y = 2x - 20