Identify the slope of the following equation. y = mx + b
the variable m
What is slope-intercept form?
the slope-intercept form y = mx + b
What form of equations do we use for lines?
y = mx + b or slope intercept form.
Give an example of two lines that are PERPENDICULAR.
Answers may vary.
Write an equation for a vertical line through the point (-3, 3)
x = -3
Are the given lines parallel, perpendicular or neither?
y = 4x + 3
y = 4x + 2
parallel
What is the formula to calculate the slope from 2 points?
y1-y2/x1-x2
Graph the following equation. Include at least 2 points. y = 1/3x + 4
See graph.
Write an equation for a line with the following slope and points.
slope = 2/3
y-int = -2
y = 2/3x - 2
How would multiplying the slope by -1 change the graph?
Line would be reflected about the y-axis
Line would decrease from left to right
Find the slope of the line that includes the following points. (4, -5) (-4, 5)
-10/8 which simplifies to -5/4 or -1.25
Graph the following equation. Include at least 2 points. y = -2
See graph.
What is the y-intercept of the given line: y = -1/2x - 3
- 3
Write an equation for a line with the following two points. Find the slope and y intercept. (15, -10) (5, 10)
slope = -2 y intercept = 20
y = -2x + 20
Find the x and y intercept of the function:
3x + 2y = -6
y-int: (0, -3)
Find the slope of the line that includes the following points. (3, 0), (3, 1)
Undefined, vertical line
Make a table of values with at least 3 ordered pairs for the following equation: y = 1/2x -5.
Then, graph.
Table should list four numbers chosen for x and then solved by multiplying by 1/2 and subtracting 5. If x is 2 then If x is 4 then 1/2(2) = 1 - 5 1/2(4) = 2 - 5 then y = -4 then y = -3
The amount y(in dollars) of money you have left after playing x games at a carnival is y = -0.75x + 10. How much money do you have after playing eight games? Graph the equation and show your explanation.
y = -0.75(8) + 10 y = -6 + 10 y = 4 $4 dollars left after playing 8 games. Graph should begin at (0, 10) on the y-axis and move down three and four to the right.
Graph x + 2y = 4
hint: put into slope-intercept form first
See graph.