Slope
Which variable represents the slope in the equation
y = mx + b
In the equation y = 5, the 5 is the...
y-intercept
x + y = 7
x - y = 3
(5, 2)
Sarah went shopping for books and notebooks. She bought three books and two notebooks for $45.00. Later that day, she returned and bought two books and one notebook for $30.00.
If b represents the cost of one book and n represents the cost of one notebook, write a system of equations that models this situation.
3b + 2n = 45
2b + 1n = 30
2x + 4 = 16
x = 6
What is the slope of the equation:
y = -3x + 4
-3
Solve for 'a' in the equation h = a • b + r in terms of h, b, and r.
a = (h-r)/b
2x + 3y = 12
x - y = 1
(3, 2)
At a restaurant, Alex ordered two hamburgers and three sodas for $15.50. His friend ordered one hamburger and two sodas for $9.00.
If h represents the cost of one hamburger and s represents the cost of one soda, write a system of equations that models this situation.
2h + 3s = 15.50
1h + 2s = 9.00
2x + 3 = 4x+ 7
x = -2
Find the slope of the line that includes the following points. (4, -5) (-4, 5)
-10/8 which simplifies to -5/4
The equation x = -2 has a slope of...
undefined
3x - y = 5
2x + y = 15
(4, 7)
A group of friends bought tickets for a concert. Two adult tickets and three child tickets cost $85. Five adult tickets and one child ticket cost $145.
If a represents the cost of one adult ticket and c represents the cost of one child ticket, write a system of equations that models this situation.
2a + 3c = 85
5a + 1c = 145
2(x - 4) = -3x + 7
x = 3
Find the slope of the line that includes the following points. (-12, -9) (-3, -3)
-6/-9 = 6/9 = 2/3
The correlation coefficient must be between two numbers. What are those two numbers?
-1 and 1
4x - y = 10
2x + y = 8
(3, 2)
At a farmer's market, Jake bought 5 apples and 3 oranges for $11.50. His sister bought 2 apples and 4 oranges for $8.00.
If a represents the cost of one apple and o represents the cost of one orange, write a system of equations that models this situation.
5a + 3o = 11.50
2a + 4o = 8.00
1/2(x + 10) = 1/4x + 6
x = 4
Find the slope of the line 2x + 3y = 5
Solving the equation for y into slope-intercept form gives us y = (-2/3)x +5/3.
The slope is -2/3
If the correlation coefficient is close to zero, that means...
3x + 2y = 14
5x - y = 19
(4, 1)
Emma bought 4 pens and 2 notebooks for $10.00. Her brother bought 3 pens and 1 notebook for $7.00.
If p represents the cost of one pen and n represents the cost of one notebook, write a system of equations that models this situation.
4p + 2n = 10.00
3p + 1n = 7.00
x = -10