Real World Problems
Create a linear equation for the following scenario:
I get paid $15 an hour, work 30 hours a week, and there are 4 weeks in a month.
y = 1800x
If the slope is undefined, the graph is....
vertical
This equation helps us find a line using the slope and the intercept
slope intercept form or y = mx + b
Find the y intercept
6x + y = 1
(0,1)
The y-intercept
Write an equation for the following scenario:
A Spanish teacher informed her class that she would be giving 4 quizzes each month.
y = 4x
When graphing linear equations, we start with the...
the y-intercept.
In the following linear equation, what is the y-intercept? y = -3/4x
0
Find the x and y intercepts for the following equation: 2x-4y = 12
(6,0) and (0,-3)
Are these lines perpendicular, parallel or neither?
y = 2x + 3
4x + 2y = 2
neither
Write an equation for the following scenario:
Finn had $293 in his savings account, but he started withdrawing $10 each week for spending money.
y = -10x + 293
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
Rewrite the following equation in standard form.
y = 5x + 2
5x - y = -2
What is the slope of a line that is perpendicular to y=4/3x-6?
-3/4
Seth’s father is thinking of buying his son a six-month movie pass for $40. With the pass, matinees cost $1.00. If matinees are normally $3.50 each, how many times a month must Seth go a movie in order for it to benefit his father to buy the pass?
7 times a month
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
In standard form, A can't be ....
a fraction or negative
DOUBLE JEOPARDY
This question has two parts:
1. Write an equation for a line with the following two points. Find the slope and y intercept. (15, -10) (5, 10).
2. Find a line that is perpendicular that passes through (6,4)
y = -2x + 20
y = 1/2x + 1
Write an equation for the following scenario:
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. How much money will she make if she baby-sits 5 hours?
$27
Make a table of values with at least 4 ordered pairs for the following equation. y = 1/2x -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 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.
1/4x + 3/5y = 11
y = -5/12x + 55/3
Write the following equation in standard form
9x − 6y = –3
3x - 2y = -1
Find a line that is perpendicular to the line 2x + y = 3 , and passing through the point (-2, 0)
y = 1/2x + 1