Slope-Intercept
What is the graph of y = 2x + 3?
Check whiteboard.
What is the slope of this line?
Picture 1
-3
What is the slope of the line in this equation
y -2 = 3(x - 4)?
slope = 3
Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 each. Write an equation in standard form which determines the number x of hardcover books and the number y of paperback books he can buy.
5x + 2y = 20
What is an equation of the vertical line that passes through (-2, -9)?
x = -2
Write an equation in slope-intercept form for a line that has a slope of 5 and a y-intercept of 2.
y = 5x + 2
What is the equation of this line in slope-intercept form?
Picture 2
y = 3x - 4
What is the point on a line from this equation?
y - 2 = 3(x+5)
(-5,2)
Based on the previous answer: Give me two possible combinations of books that Derek can buy.
Answers will vary.
What is the equation for a horizontal line that passes through (5,-7)?
y= - 7
What is the slope of a line that passes through (3,-1) and (-2,14)?
slope = -3
What is the equation of this line in point-slope form?
Picture 3
y - 2 = -3(x-2)
What is an equation in point-slope form of the line that passes through the point (4,-1) and has slope 6?
y + 1 = 6(x - 4)
Yuson must complete 30 hours of community service. She does 2 hours each day. What linear equation represents the hours Yuson has left after x days?
y = -2x + 30
For which values of A, B, and C will Ax + By = C be a vertical line through the point (8,6)?
A = 1 B=0 C=8
What is the equation of a line that passes through (-4,-4) and (-2,-8)?
y = -2x-12
What are the x and y-intercepts of this line?
Picture 4
x-intercept: 3
y-intercept: 2
What is an equation in point-slope form of the line that passes through (-7,1) and (-3,9)?
y - 9 = 2(x + 3)
Each day, Lourdes reads 30 pages of a 450-page book. Write a linear equation to represent the number of pages Lourdes has left to read after x days.
y = -30x + 450
What are the x-intercept and y-intercept of the graph of 9x - 7y = -63?
x-intercept: -7
y-intercept: 9
Convert the following equation to slope-intercept form.
4x - 2y = 16
y = 2x - 8
What is the equation of this line in standard form?
Picture 5
4x + 3y = -24
What is the y-intercept of the line y + 8 = -6(x - 3)?
y-intercept = 10
Write an equation in standard form that has an x-intercept of 3 and a y-intercept of 5.
5x + 3y = 15
What is the equation in standard form of the line
y= 1/9 x + 5?
-x + 9y = 45