Slope
What is the slope of a line that rises 3 units for every 4 units it runs?
3/4
What is the y-intercept of the line represented by the equation y=4x+5
The y-intercept is 5.
What does the graph of a positive slope look like?
It rises from left to right.
What is the standard form of a linear equation?
Ax+By=C, where A, B, and Care constants
A car rental company charges a flat fee of $50 plus $20 per day. Write a linear equation to represent the total cost C after d days.
C=20d+50 or y=20x+50
How do you calculate the slope of using two points
(2,5) and (4,8).
3/2
How can you find the y-intercept from the equation 3x+2y=6?
y=3
Which point on the graph represents the y-intercept?
The point where the line crosses the y-axis.
Write an equation in slope-intercept form for a line with a slope of 3 and passing through the point (2,5).
The equation is y=3x-1.
A teacher givws $5 fore each book report submitted. If a student submits x reports, how much money does the student earn?
y=5x.
If a line has a slope of -2, what does this tell you about the direction of the line?
The line decreases (falls) as you move from left to right.
in the context of a linear equation, what does the y-intercept represent?
it represents the point where the line crosses the y-axis
How can you identify a line with a slope of 0 in a graph?
It is a horizontal line.
Convert the equation y-2=4(x+1) to slope-intercept form.
The equation is y=4x+6.
A line is modeled by the equation y=2x+4. What is the value of y when x=3?
y=10.
Write the slope-intercept form of a line with a slope of 5 and a y-intercept of 2.
y=5x+2
if the equation of a line is given as y=mx+b, what does b represent?
b is the y intercept
If two lines are parallel, what can you say about their slopes?
Their slopes are equal or the same.
What is the equation of a line that has a slope of -1 and passes through the origin?
The equation is y=-x.
A line is modeled by the equation y=-3x+5. What is the value of x when y=17?
x=-4.
Compare the slopes of the lines represented by the equations y=3x+1 and y=-2x+4. What can you say about the steepness?
The first line is steeper than the second line.
Compare the y-intercepts of the equations y=2x+1 and y=2x-3.
The first line has a y-intercept pf 1. while the second line has a y-intercept of -3.
Describe how the graph of the equation y=-x+2 would look.
It descends from left to right and crosses the y-axis at 2.
Explain how to find the equation of a line given two points: (-2,4) and (-4,8).
Calculate the slope: 8-4/-4+2=4/-2=-2
Use y=mx+b (-2,4)
4=-2(-2)+b
0=b The equation is Y=-2x
A gardener plants x rows of flowers, with each row having 8 flowers. Write an equation for the total number of flowers F in terms of x.
F=8x.