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
Solve the equation for x:
x + 8y = -3
x = -8y-3
Write an equation for the line shown on the 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
Solve the equation for y:
9x - 18y = -36
1/2x + 2= y
Write an equation for the line shown.
x = -3
Name three ways to describe slope.
Possible answers:
rate of change
rise over run
y2 - y1/ x2 - x1
slope = m in y = mx + b
If the slope = -7 and the y-intercept = 8, what is the equation of the line?
y = -7x + 8
Rewrite this equation in slope-intercept form. x + y = -12
y = -x - 12
Solve the equation for x:
2x + 6 = -18y
x = -3 -9y
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
Solve the equation for x:
8x + 4 = 16
x = 3/2
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
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 the following equation in slope-intercept form. 3.5x - 7y = -21
-7y = -3.5x + 21 y = 0.5x - 3 or y = 1/2x - 3
Solve the equation for x.
2x + 5y = 10
x = -5/2y + 2
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.