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?
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
What is slope equals 2
When graphing linear equations, where do we begin?
What is 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 vertical line through the point (-3, 3)
x = -3
Name a way to describe slope
Possible answers:
What is rate of change
What is rise over run y2 - y1 / x2 - x1
What is slope = m in y = mx + b
The direction of slope for the following equation y = 1/3x + 4
What is positive.
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)
What is -10/8 which simplifies to -5/4
Graph the following equation y = -2. What is the direction of the slope?
What is a horizontal line
What is zero slope
Rewrite the following equation in slope-intercept form. 3x + 6y = -18
y = -1/2x - 3
Solve for y for the following equation. 8x + 4y = 16
What is y = -2x + 4
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)
What is -6/-9 = 6/9 = 2/3
If x=0 in the following equation y = 1/2x -5, what is the value of y?
What is -5
Rewrite the following equation in slope-intercept form. 14x - 7y = -21
-7y = -14x + 21
y = 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.