Slope, also known as rate of change, is represented in linear equations by what letter?
m
Solve for y: 3x + y = -4
y= -3x - 4
Solve the system of equations: y = 2x + 1 and y = x - 2
x = -3 and y = -5
Which graph represents the inequality y > x
Left (A / #1)
Graph f(x) = x and g(x) = x - 2. Describe the transformation from the graph of f to the graph of g in math terms.
The graph translated down two units (OR the y intercept decreased by two units)
What is the slope of y=3x + 2 ?
3
Solve for y: 3y = 4x - 1
y = 4x/3 - 1/3
Solve the system of equations: y = x/2 - 5 and y = -4x + 4
x = 2, y = -4
What is the equation to the following linear inequality:
y > 2x - 3
Graph f(x) = x and g(x) = -x. Describe the transformation from the graph of f to the graph of g, in math terms.
The line reflected across the x-axis.
What is the rate of change of y = -x + 5 ?
-1
Solve for y: 4x + 2y = 8
y = -2x + 4
Solve the system of equations: 2 + y = x, 3x + y = 6
x = 2, y = 0
What is the equation for this linear inequality?
y ≤ 2x + 6
Graph f(x) = x and g(x) = 2x. Describe the transformation from the graph of f to the graph of g in math terms.
The graph was stretched by a factor of two (OR, the steepness increased by a factor of two)
What is the slope of y = -2 ?
Zero
Solve for y: 3x - 6y = 12
y = x/2 - 2
Solve the system of equations: 6x - 3y = 12, 2x - 3y = 9
x = 0.75 (3/4), y = -2.5 (-5/2)
What is the equation for the following linear inequality:
y < 3
Graph f(x) = x and g(x) = x/2 + 4. Describe the two transformations from the graph of f to the graph of g in math terms.
The y-intercept increased by 4 (the graph translated up by 4 units)
The graph shrank by a factor of two (steepness decreased by a factor of two).
What is the slope of x = 7 ?
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Solve for y: 2x/5 + y/10 = 2
y = -4x + 20
Solve the system of equations: x/4 - y/3 = 2, 5x - y/2 = 9/2
x = 0.324, y = -5.757
What is the linear inequality for the graph:
x > -2
Graph f(x) = x and g(x) = -5x - 8. Describe the three transformations from the graph of f to the graph of g in math terms.
The line reflected across the x-axis.
AND the y-intercept decreased by 8 (the graph translated down by 8 units).
The graph stretched by a factor of five (steepness increased by a factor of five).