Writing Equations in Slop-Intercept Form
Write 2y+4x=30 in Slope-Intercept Form.
y=-2x+15
Write the equation in Point-Slope Form of the line that passes through (8,3) with a slope of 5.
y-3=5(x-8)
Is the equation y=-7x+3 perpendicular to the equation y=1/7x+12?
Yes.
Find the slope using these two coordinate points.
(8,7) and (-4,1)
Slope = 1/2
Combine like terms:
-6v+9v+12+6a
3v+12+6a
Write 1/2y+(-5/4x)=7/8 in Slope-Intercept Form.
y=5/2x+7/4
Write this equation in Point-Slope Form when the line passes through (-6,-1) and has a slope of 1/3.
y+1=1/3(x+6)
Write an equation that is parallel to the equation y=1/2x-2.
y=1/2x-__
Find the slope:
f(4) = 19
f(-3) = 10
Slope = 9/7
Convert 19/25 to a decimal.
0.76
Write an equation in Slope-Intercept Form of a line that has a y-intercept of 4 and passes through (4,5) and (-7,8).
y=-3/11x+4
write an equation with a slope of 1/3 and a y intercept of 7.
y-7=1/3(x-0)
Write an equation that is perpendicular to y=1/3x+5.
y=-3x+___
Find the slope:
f(19)=300(3,220)
Slope = 5
Which two integers is the square root of 27 in between?
Sally plays a game and moves to the left 2 times, and then goes down 6 times, and she started at (0,-2). Write the equation of her path in Slope-Intercept Form.
y=3x-2
Write this equation in Point-Slope Form:
y=5/3x-10
y+10=5/3(x-0)
Which of these 4 lines, if any, are perpendicular and which of them are parallel? (List all)
A.) y=2x-7
B.)y=-1/3x+7
C.)y=3x+2
D.)y=-1/3x+17
Parallel: (B and D)
Perpendicular: (B and C) and (C and D)
Two shops that are competing together to see who has a bigger slope. Company A started at (0,40) and company B started at (0,20)
(y axis is equal to money and x axis is equal to days)
After 10 days, Company A has achieved $140. Company B has achieved $160. Which company has the bigger slope?
Company A's slope: 10
Company B's slope: 14
Company B has a bigger slope.
A function is __________ when its graph moves down as x moves right.
(fill in the blanks.)
Increasing
Decreasing
Write this equation in Slope-Intercept Form.
(y-4)=7(x-0)
y=7x+4
Ben opened a savings account represented by the equation y=50.50x+90, where y is the amount of money earned after x months. Express the situation in Point-Slope Form.
y-90=50.5(x-0)
Truck B's path is represented by this equation: (y-5)=-5(x-1)
Are the paths of the trucks perpendicular, parallel or neither.
Parallel.
Find the slope of the line:
(y+7)=?(x-4)
(3,1) is a coordinate the line passes through.
Slope = -8
The equation H=5t+30 represents the construction of a tower. When H represents the height of the tower in feet, and T represents how many minutes have passed, explain what the equation is saying.
The construction of the tower started at the height of 30 feet. Every minute that has passed, the tower grows 5 feet.