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
Evaluate:
-2x - 5 = -15
x=5
You want to go to a baseball game. To park it costs $4 and per ticket it costs $25. Write the equation in slope intercept form.
y=25x +4
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.
Solve:
3x - 2 = -14
x = -4
A gym membership costs $10 for a sign up fee and then $15 for every month. Write an equation to represent this situation.
y=15x+10
Name two ways to find 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.
What is the slope of this equation?
x = 5
Undefined Slope
It costs $14 for a pizza pie at Brothers' Pizzeria. For each topping you add on it costs $2.50. If you and your friends want a pie with 4 toppings, how much will the total cost of the pizza be?
y=2.50(4) + 14
y=$24
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. 2x + 6y = -18
y = -1/3x - 3
Graph the following equation. 8x + 4y = 16
Should be rewritten as y = -2x + 4 and then graphed.
You and your friends are going to a concert. To park at the concert it costs $13 and $30 per ticket. If you and your friends spent a total of $163, how many people went to the concert?
163 =30x +13
5 people
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 = 2x -5 Then plot the ordered pairs. Draw a line through the points.
Line should begin at (0,-5) and move up 2 right 1.
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?
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.