Finding Slope
What are the TWO different ways in which you can find the slope of a line?
What is: 1) You can do rise over run with a line on a graph or 2) You can find the change in y divided by the change in x with two points on the line?
The y-intercept is where the line crosses the ____________________.
What is: y-axis?
"Rise over run" is one way to find the _________ of a line.
What is: slope?
True or false: with an x-value of -2, when I plug that into the equation y = 4x + 1, my y-value is -10?
What is: false? The y-value is -7.
What are the four types of slope?
What is: positive, negative, zero, and undefined?
If you have a NEGATIVE slope, what kind of line do you have? What does it look like?
What is: You have a negative line that is going down from left to right?
What is the algebraic form of slope-intercept form (what's the equation)?
What is: y = mx+b?
A vertical line on a graph has no slope; it is also called _________________.
What is: undefined?
Complete the table of values for y = 5x -3.
(provide drawing)
What is: (-2, -13), (-1, -8), (0, -3), and (1, 2)?
True or false? An ordered pair is always shown as (y, x).
What is: false? It is always shown as (x, y).
True or false? The slope of the line that crosses through (1, -6) and (-3, -6) is 0.
What is: true?
Graph the following line: y = -2/5x.
What is: check the line/passing through the y-axis at (0,0) going down 2, and over 5 for slope?
What does the "b" represent in y = mx + b?
What is: the y-intercept?
Plot 4 points for y = -x on a graph, connect them to make a line, and tell me what kind of slope it has. (provide drawing)
Use the x-values -2, -1, 0, and 1.
What is: check line; (2, -2), (1, -1), (0, 0), (-1, 1); negative?
True or false: An undefined slope and a 0 slope are the same thing. Explain your reasoning.
What is: false because an undefined slope means there is NO slope; it is a vertical line. A slope of 0 means there is no change, and is a horizontal line?
Find the slope of the line that crosses through both
(5, -2) and (10, 0).
What is: 2/5?
Graph the following line: y = x + 4.
What is: check the line (passing the y-axis at 4, going up 1 and over 1 for slope)?
"Change in" is shown as a symbol (for example, "change in y divided by change in x"). What is that symbol?
What is: a triangle (delta)?
Complete the table of values for y = -4x, and plot the 4 points on a graph/connect them to make a line.
Use x-values of -2, -1, 0, and 1.
What is: (-2, 8), (-1, 4), (0, 0), and (1, -4)? Check line.
What is a NON-example of an equation in slope-intercept form?
What is: anything not in y = mx + b form.
(ex. y + 5 = -7x).
Find the slope of both lines that pass through each pair of points.
1. (-12, 9) and (0, 1)
2. (5, 2) and (5, 6)
What is: -8/12 (or -2/3) and 4/0 (or undefined)?
Graph the following line, and tell me what the slope is of the line.
y = 1
What is: check line; slope = 0?
Y = mx + b is also called ___________ ___________ ____________ (3 words).
What is: slope-intercept form?
Complete the table of values for y -2 = 3x, plot the 5 points, and connect them to make a line.
Use the x-values of -2, -1, 0, 1, and 2.
What is: (-2, -4), (-1, -1), (0, 2), (1, 5), and (2, 8)? Check line.
True or false: y = -6 has NO slope, and a y-intercept of -6.
What is: true?