Finding Slope of a Line
Identify the slope of the following equation. y = mx + b
What is the variable m?
What form do we use to graph a linear equation?
What is the slope-intercept form y = mx + b?
What is slope intercept form?
what is y = mx + b?
What are the 3 possible methods for solving systems of equations?
What is graphing, elimination, and substitution?
Describe the slopes of parallel and perpendicular lines.
Identify the slope of the following equation. y = 2x + 3
What is the slope is 2?
Name the quadrant points (1, -4) and (2, -6) will be graphed in.
What is quadrant 4?
In the following linear equation, what is the y-intercept? y = -3/4x
What is 0?
Solve simultaneously:
y = 4x - 9
y = x - 3
What is (2, -1)?
Write an equation for a vertical line through the point (-3, 3)
x = -3
Describe what the slope is
Possible answers: what is the rate of change, rise over run, the measure of steepness of a non-vertical line?
Graph the following equation. Include at least 2 points. y = 1/3x + 4
Graph should start with the point at (0, 4) Movement should be 1 up and 3 to the right continuing to another point. Movement could also be 1 down and 3 to the left.
Rewrite this equation in slope-intercept form. x + y = -12
What is y = -x - 12?
Sove simultaneously:
y = -5x
5x + 4y = -20
What is (0, -5)?
Write an equation for a line with the following slope and point.
m = 2/3 and (0, -2)
What is y = 2/3x - 2?
Find the slope of the line that includes the following points. (4, -5) (-4, 5)
What is -10/8 which simplifies to -5/4?
Graph the following equation. Include at least two points. y = -2
Graph should begin with a point on the y-axis at -2. A horizontal line should be drawn through -2 extending on both sides of the y-axis.
Rewrite the following equation in slope-intercept form. 3x + 6y = -18
y = -1/2x - 3
Solve simultaneously:
8x - 6y = -20
-16x + 7y = 30
What is (-1, 2)?
Write an equation for a line with the following two points. Find the slope and y intercept. (15, -10) (5, 10)
What is slope = -2, y intercept = 20, and
y = -2x + 20
Find the slope of the line that includes the following points. (-12, -9) (-3, -3)
What is 6/9 = 2/3?
Make a table of values with at least 4 ordered pairs for the following equation. y = 1/2x -5 Then plot the ordered pairs. Draw a line through the points.
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
Rewrite the following equation in slope-intercept form. 3.5x - 7y = -21
What is y = 0.5x - 3 or y = 1/2x - 3?
Solve simultaneously:
-16 + 20x -8y = 0
36 = -18y - 22x
What is (0, -2)?
Name a line parallel and a line perpendicular to y = 3x + 4 through the point (1, 1)
What is the line parallel is y = 3x - 2 and the perpendicular line is y = -1/3x + 4/3?