Finding Slope of a Line
Identify the slope of the following equation. y = mx + b
the variable m
What form do we use to graph a linear equation?
the slope-intercept form y = mx + b
What is slope intercept form?
y = mx + b
Dory is buying a square shaped canvas with an area of 144 square inches. Find the side length of one side of the canvas.
12
Write an equation for a line shown on a graph.
y = mx + b
Identify the slope of the following equation. y = 2x + 3
slope is 2
When graphing linear equations, where do we begin?
We begin at the y-intercept.
In the following linear equation, what is the y-intercept? y = -3/4x
0
10(0.5x – 2) = -3x + 20 + 8x
No Solution
Find the solution to the system of equations by using substitution.
y = 2x + 16
-3x + y = 20
(-4, 8)
Name three ways to describe slope.
Possible answers: rate of change rise over run y - y x - x slope = m in y = mx + b
Graph the following equation. Include at least 3 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
y = -x - 12
Find the solution to the system of equations by using substitution.
y = 2x + 16
-3x + y = 20
(-4, 8)
Write an equation for a line with the following slope and points. m = 2/3 (0.-2) (3, 0)
y = 2/3x - 2
Find the slope of the line that includes the following points. (4, -5) (-4, 5)
-10/8 which simplifies to -5/4
Graph the following equation. Include at least three 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
Graph the following equation. 8x + 4y = 16
Should be rewritten as y = -2x + 4 and then graphed.
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
Find the slope of the line that includes the following points. (-12, -9) (-3, -3)
-6/-9 = 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
-7y = -3.5x + 21 y = 0.5x - 3 or y = 1/2x - 3
Throughout his photography career, Paul has photographed 200 adult elephants in the wild. If each elephant weighed approximately 1.4x10^4 pounds, find the combined weight of all 200 elephants expressed in scientific notation.
2.8*10^6
Find the solution to the system of equations by using substitution.
y = -2x + 13
4x + 8y = 20
(7, -1)