Write the equation of a line for the table below.
Write the equation of a line for the table below.
Graph the line below.
y = 2x + 4
Write the equation of a line.
Write the equation of a line.
Sketch the graph of
\displaystyle
3x -2y =12
Identify each relation in question 1 as a direct or partial variation. Explain.
Solve each relation below for x = 7
.
Calculate the slope of each line.
The rise is 4 and the run is 5.
Calculate the slope of each line.
\Delta y = 8
when \Delta x = 2
Calculate the slope of each line.
The change in x is 6 and the change in y is 10.
Calculate the slope of each line.
The line passes through points (2, 7) and (6, -1)
Calculate the slope of each line.
The first differences are -5 when the change in x is 1.
Kristina is snowboarding down this hill.
a) On which segment will she go fastest? Why?
b) On which segment will she go slowest? Why?
c) Prove your answers to parts a) and b) mathematically.
Determine tow more ordered pairs that lie on each line.
The rise is 3, the run is 4, and (2, -5) is on the line.
Determine tow more ordered pairs that lie on each line.
The slope is \frac{2}{3}
and the y-intercept is (0, 5).
Determine tow more ordered pairs that lie on each line.
The slope is -\frac{3}{5}
and the x-intercept is (3, 0).
Determine tow more ordered pairs that lie on each line.
\delta y = 5
, \delta x = 2
, and (-1, -1) is on the line.
Graph \displaystyle
y = \frac{2}{3}x -4
Graph \displaystyle
3x - 6y = 12
A rectangle has a perimeter of 210 cm.
a) Explain why 2L + 2W = 210 models the case. What are L and W?
b) Graph 2L + 2W = 210.
c) Is the set of data discrete or continuous? Explain.
d) Determine two combinations of length and width for this rectangle.
Is x = 5
the x-intercept of 2x - 3y = 10
? Explain how you know.
Identify each relation as linear or nonlinear. Explain your reasoning.
A ball is hit straight up into the air. The table shows its height at various times.
a) Identify the relation between height and time as linear or nonlinear.
b) Graph the data.
c) Estimate the height of the ball at 1.5 seconds.
d) Estimate the time at which the height of the ball is 44 m.
e) Determine the time at which the ball hits the ground.
f) Determine the maximum height of the ball.
The table shows the value )1, in dollars, of a rate coin that is x years old.
a) Is this relationship linear or nonlinear?
b) Graph the data.
c) Find the equation of this relationship.
d) Use the equation to find the value of the coin after 15 years.