m & b
Write an equation in slope-intercept form of the line with the given slope and y-intercept.
slope: 3
y-intercept: -10
What is y = 3x - 10
The value of b is the _______ of the graph of the equation.
What is the y-intercept
Write an equation in point-slope form of the line that passes through the given points.
(4, 7), (5, 1)
What is
y - 7 = -6(x - 4) or
y - 1 = -6(x - 5)
Write the formula for standard form.
What is Ax + By = C
If two nonvertical lines in the same plane are parallel, then they have the same _______.
What is slope
Write an equation in slope-intercept form of the line with the given slope and y-intercept.
slope: 4/9
y-intercept: 5
What is y = (4/9)x + 5
Write an equation in slope-intercept form of the line that passes through the point (-2, -6) and has a slope of 2.
What is y = 2x - 2
Write an equation in point-slope form of the line that passes through the given points.
(9, -2), (-3, 2)
What is
y + 2 = (-1/3)(x - 9) or
y - 2 = (-1/3)(x + 3)
Write an equation in standard form of the line that has the given characteristics.
slope: -4; passes through (-2, 7)
What is 4x + y = -1
If two nonvertical lines in the same plane are perpendicular, then their slopes are _______ _______.
What is negative reciprocals or opposite reciprocals
Linear equations have a ________ rate
What is constant
Write an equation in slope-intercept form of the line that passes through the point (-3, -1) and has a slope of 4.
What is y = 4x + 11
Write an equation in point-slope form of the line that passes through the given points.
(8, -8), (-3, -2)
What is
y + 2 = (-6/11)(x + 3) or
y + 8 = (-6/11)(x - 8)
Write an equation in standard form of the line that has the given characteristics.
passes through (-1, -5) and (3, 7)
What is -3x + y = -2
Write an equation of the line in slope-intercept form that passes through the given point and is (a) parallel to the given line and (b) perpendicular to the given line.
(0, 2), y = -4x + 6
What is
a. y = -4x + 2
b. y = (1/4)x + 2
You have a $25 gift card for a bagel shop. A bagel costs $1.25. Is the slope of the equation that gives the amount (in dollars) that remains on the card as a function of the total number of bagels you have purchased so far positive or negative?
What is negative
Write an equation in slope-intercept form of the line that passes through the point (-2, 1) and has a slope of 1.
What is y = x + 3
A bus leaves at 10 A.M. to take students on a field trip to a historic site. At 10:25 A.M., the bus is 100 miles from the site. At 11:15 A.M., the bus is 65 miles from the site. The bus travels at a constant speed. Write an equation in point-slope form that relates the distance (in miles) from the site and the time (in minutes) after 10:00 A.M.
What is
y - 100 = (-7/10)(x - 25) or
y - 65 = (-7/10)(x - 75)
You are buying ribbon to make costumes for a school play. Organza ribbon costs $0.07 per yard. Satin ribbon costs $0.04 per yard. Write an equation in standard form to model the possible combinations of yards of organza ribbon r and yards of satin ribbon s you can buy for $5.
What is 0.07r + 0.04s = 5
Write an equation of the line in slope-intercept form that passes through the given point and is (a) parallel to the given line and (b) perpendicular to the given line.
(2, -3), y = -2x - 3
What is
a. y = -2x + 1
b. y = (1/2)x - 4
You have a $25 gift card for a bagel shop. A bagel costs $1.25. Write an equation that gives the amount (in dollars) that remains on the card as a function of the total number of bagels you have purchased so far. How much money is on the card after you buy 2 bagels?
What is y = -1.25x + 25; $22.50
Write an equation in slope-intercept form of the line that passes through the point (8, -4) and has a slope of -3.
What is y = -3x + 20
A bus leaves at 10 A.M. to take students on a field trip to a historic site. At 10:25 A.M., the bus is 100 miles from the site. At 11:15 A.M., the bus is 65 miles from the site. The bus travels at a constant speed. How far is the bus from the site at 11:30 A.M.?
What is 54.5 mi
You are buying ribbon to make costumes for a school play. Organza ribbon costs $0.07 per yard. Satin ribbon costs $0.04 per yard. Write an equation in standard form with integer coefficients to model the possible combinations of yards of organza ribbon r and yards of satin ribbon s you can buy for $5.
What is (sample answer) 7r + 4s = 500
Write an equation of the line in slope-intercept form that passes through the given point and is (a) parallel to the given line and (b) perpendicular to the given line.
(6, 0), y = (3/4)x - (1/4)
What is
a. y = (3/4)x - 4.5
b. y = (-4/3)x + 8