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
Evaluate:
-2 - 5
-7
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
Write an equation for a line that has a slope of 2 goes through the point (0,3).
y=2x+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
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
What is the slope of a vertical line?
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
Graph the following equation. Include at least three points on your graph. y = -2x
Graph should begin at the origin. A negative slope of 2. Movement is down 2, right 1 OR up two, left 1.
Rewrite the following equation in slope-intercept form. 3x + 6y = -18
y = -1/2x - 3
Graph the following equation. y=-3x+4
Begin at y-intercept of 4. Move down 3 and right 1 OR up 3, left 1.
Write an equation for a line with the following two points. (9,10) and (0,3)
slope = 7/9 y intercept =3
y = 7/9x + 3
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 3 ordered pairs for the following equation. y = x -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 subtracting 5. If x is 2 then y=(2)-5. 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 = -0.50x + 10. How much money do you have after playing eight games?
y = -0.50(8) + 10
y = -4 + 10
y = 6
$6 dollars left after playing 8 games.