Which of the following is an equation of the line through (2, 3) and (−1, −12)?
Yuson must complete 30 hours of community service. She does 2 hours each day. Write a linear equation to represent the hours Yuson has left after x days.
For the graph of the equation you wrote in Item 3, what does the y-intercept represent?
days it takes to complete 30 hours
hours completed each day
total hours of service
hours left to complete
What is an equation of the horizontal line that passes through (5, −7)?
y = 5
y = -7
x = 5
x = -7
For which values of A, B, and C will Ax + By = C be a vertical line through the point (8, 6)?
A = 0, B = 1, C = 6
A = 0, B = 1, C = 8
A = 1, B = 0, C = 8
A = 1, B = 0, C = 6
What is an equation in point-slope form of the line shown in the graph, using the point (2, 2)?
What is an equation in pointslope form of the line that passes through the point (4, −1) and has slope 6?
y − 1 = 6(x + 4)
y − 1 = −6(x + 4)
y + 1 = −6(x − 4)
y + 1 = 6(x − 4)
What is an equation in pointslope form of the line that passes through (−7, 1) and (−3, 9)?
y + 3 = 2(x − 9)
y − 3 = 2(x + 9)
y − 9 = 2(x + 3)
y + 9 = 2(x − 3)
Write the equation in standard form of the line that has x-intercept 3 and y-intercept 5.
3x + 5y = 15
5x + 3y = 1
3x + 5y = 1
5x + 3y = 15
What is the equation in standard form of the line:
x − 9y = −45
9y = x + 45
x = 9y − 45
y − x = 45
What are the x-intercept and the y-intercept of the graph of 9x − 7y = −63?
x-intercept: 9; y-intercept: −7
x-intercept: −9; y-intercept: 7
x-intercept: −7; y-intercept: 9
x-intercept: 7; y-intercept: −9
Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 each. What equation in standard form determines the number x of hardcover books and the number y of paperback books he can buy?
2x + 5y = 20
5x = 2y
5x + 2y = 1
5x + 2y = 20
For the situation in Item 14, which of the following represents a possible combination of books that Derek can buy? Select all that apply.
(3, 2)
(0, 10)
(−2, 15)
(2, 5)
Determine whether the lines are parallel, perpendicular, or neither.
5x + 2y = 14 and y = −5x + 9
The lines are parallel
The lines are perpendicular
The lines are neither parallel or perpendicular
The lines are both parallel and perpendicular
Which lines are parallel to 8x + 2y = 7? Select all that apply.
y = −4x + 15
y = −4x
y − 1 = 4(x + 8)
16x + 4y = 9
Write the equation in slopeintercept form of the line that passes through (6, −11) and is parallel to the graph of:
What is the y-intercept of the line y + 11 = −2(x + 1)?