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
Standard Form ax+by=c
What is slope intercept form?
y = mx + b
Evaluate:
4x + 7 - 12x - 14y + 20 - 2x
-10x + 27 - 14y
What form of equations do we use for lines?
y = mx + b or slope intercept form.
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
Solve:
3x - 2 = -14
x = -4
A line has a slope of 1 and a y-intercept of (0,-3)
y = x - 3
Name three ways to describe slope.
Possible answers: rate of change rise over run y - y x - x slope = m in y = mx + b
Make a table for the following function. 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
What is the slope of this equation?
x = 5
Undefined Slope
Write an equation for a line with the following slope and points.
m = 2/3 and (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
Make a table for the function. Include at least three points. Draw a rough line of what the equation will look like; 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
Re Write as slope intercept form: 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
y = -2x + 20
Find the slope of the line that includes the following points. (-12, -9) (-3, -3)
SIMPLIFY!!!!
-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
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
Is x = 2 a solution to the equation 2(x - 5) + 3 = 13 ?
No it is not a solution.
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.