Standard Form
Slope Intercept Form
Key Features
Vocabulary
100
Rewrite the following equation in standard form
-6x + y = -10
6x - y = 10
100
What is the slope of the following equation?
y = 3x/5 - 2
3/5...
Not (3x/5)
100
Identify the y-intercept for the graph below
(0, 6)...
Not 6
100
What is an ordered pair?
A combination of two or more values which represent a solution to an equation with multiple variables
200
Rewrite the following equation in standard form
2x + 4y = 16
x + 2y = 8
200
Write the equation of a line with a slope of -2 and a y-intercept of (0, 6)
y = -2x + 6
200
Identify the x-intercept from the table
(-1, 0)...
not -1
200
What is slope?
The rate at which the y-values change in relation to the x-values within a set of solutions.
300
Rewrite the following equation in standard form
10x + 5y = 15
2x + y = 3
300
Rewrite the following problem in slope intercept form:
4x - 7y = 21
y = 4x/7 - 3
300
Identify the slope between the following two points:
(0,6) and (3, 12)
2
300
What is a set?
A collection of well defined objects.
400
Rewrite the following equation in standard form
x/7 + 2y = 3
x + 14y = 21
400
Find the equation of a line which has a slope of 1/2 and passes through the point (3, 6)
y = x/2 + 4.5
400
Find the y-intercept for the equation 3x + 4y = 16
(0, 4)... not 4
400
What is the standard form for a linear equation?
ax + by = c
Where a, b, and c are integers with no common factors, and a is positive.
500
Rewrite the following equation in standard form
3x + y = -3y - 6
3x + 4y = -6
500
Find the equation of a line which contains the solutions (-6, 2) and (-4, - 3)
y = -5x/2 - 13
500
Charlie is a young entrepreneur. His investors gave him $50,000 to launch his craft soda business. However, after 5 months, he only has $10,000 of that initial investment. At his current rate, what is his slope and what are his x and y-intercepts?
Slope: -$8000 per month
y-intercept: Initial investment of $50,000x-intercept: No funds left after 6.25 months
500
What is the cartesian plane?
A coordinate plane made from one vertical numberline (y-axis) and a horizontal numberline (x-axis) where ordered pairs can be visually represented as a graph.