What is the y-intercept in the y=0.75x + 5
0.75
How many quadrants make up the coordinate plane?
4
What happens to the graph of a line when the slope gets bigger?
It gets more steep.
Why are most of the real world questions about functions happening only in the 1st quadrant?
It is where x and y are both positive.
How can you tell if something is a function if it is written in a table of values?
Look for repeats in the inputs or the x's.
If a person saves $40 a week for 3 weeks and starts with $50, what is the initial value?
50
Write an equation for a linear function going through the origin with a slope of -2.
y = -2x
If a line goes up to the left, what do you know about its slope?
it is negative
What do you call the slope of a completely vertical line?
undefined
How do you know if the vertical line test fails?
It crosses your graph at more than one point.
What is the y-intercept of the line passing through (6,7) and (0,9)?
9
Write the equation for a horizontal line with a y-intercept of 3.
y=3
What is the initial value of the equation y = (2/3)x - 5
-5
What is the slope of the line passing through (5, 7) and (-1, 0)?
7/6
straight line
What is the equation of a line with an initial value of 0 and a slope of 3?
y = 3x
What is the equation of a line with a y-intercept of 8 and a slope of 1/2?
y = 0.5x + 8
Put these lines in order from the less steep to more steep?
y = (1/3)x + 4
y = 5x - 7
y = -2x
y = 8
y = 8, y = (1/3)x + 4, y = -2x, y = 5x - 7
Which two sets of ordered pairs are found on the graph of 2x - 3y = 18? You may use Desmos for this one.
(0, 18)
(12, 2)
(3, 4)
(9, 0)
(9, 0)
(12, 2)
Which of the equations is linear?
y = x2
y = 4/x
y = 8x - 1
y = 8x - 1
What is the y-intercept of the line passing through the points (3, 7) and (4, 9)?
1
What type of slope (pos or neg) would a linear function have if it had an initial value of (0, 4) and went through the point (3, -2)?
negative
What would the equation of the line be that passes through (4,7) and (2,8)?
y = -0.5x + 9
If a line passes through (5, 8) and (6, 8), what is the slope?
0
If a graph rises 10 spaces and has a run of 5 spaces, what is the slope?
2