Slope
Which variable represents the slope in slope-intercept form?
m=slope
y=mx+b
write a linear equation when given (-4, -7); slope = 3
y=3x+5
You plan to go snowboarding this weekend in Pennsylvania. The resort charges $15.75 per hour in addition to a $25 deposit to rent a snowboard. Write and solve linear equation to find the total cost to rent the snowboard from 8:30 a.m. to 12:30 p.m.
y=15.75x+25
$88
Describe the slopes of parallel lines.
they are the same
y=3x+1
m=3
what is standard form?
Ax+By=c
write a linear equation when given (8,-9), slope=-5/4
y=-5/4x+1
Brielle's piggy bank has al nickels and dimes. The total value of the money in her piggy bank is $7.80. If she has 66 nickels, write and solve a linear equation to find the number of dimes she has.
7.80=0.05x+0.10y
45 dimes
Describe the slopes of perpendicular lines.
(opposite sign and flipped fraction)
Identify the slope and y-intercept.
2x+5y=20
m=-2/5
b=4
When should point-slope formula be used?
When given slope and a coordinate pair, or when given two coordinate pairs
Which si the equation of the line that passes through the points (-4, 3) and (2, -6)?
y=-3/2x-3
MaryAnn is printing pictures from her recent trip to Europe. An online print shop charges $0.15 per 4x6 inch print, along with a flat rate shipping charge of $3.00.
If MaryAnn has $35 to spend, how many prints can she order?
y=0.15x+3
213 pictures
Which line is perpendicular to the line
y = -3x+2?
y=1/3x-1
What is the slope of the line that contains the points (13, -2) and (3, -2)?
m=0
What are x and y intercepts?
X-intercepts are where the graph cross the x-axis.
Y-intercepts are where the graph crosses the y-axis. (also the starting point on the graph)write the equation of a line when given (-2,7) and (6,-5)
y=-3/2x+4
The monthly rent for an 800 square foot office is $975. For an 1100 square foot office, the rent is $1125. Write and solve a linear equation to find the monthly rent for a 1500 square foot office.
y=.5x+575
$1325
Write an equation that is parallel to
y =-4x + 5 and passes through the point (-2, -1).
y=5/2x-9
What is the slope of the line whose equation is 2y=3x+4
m=3/2
What is point-slope formula?
y - y₁ = m(x - x₁)
What is the equation of the line that contains the points (-6, 1) and (4, -4)?
y=-1/2x-2
At Smith Mountain Lake Boat Rentals, ti cost $25 per hour ot rent a pontoon boat, plus a one-time charge for cleaning. The Bengel family rented a boat from 1 am - 6:30 pm and paid $226.50. If the Jones Family rented aboat from 8am - 1pm, how much did they pay?
y=25x+39
$164
Write an equation that is perpendicular to 3x - 5y = 5 and passes through the point
(9, -14).
y=-5/3x+1