Vocabulary
Slopes
Linear vs Non-Linear
Graphing Linear Equations
x and y - intercepts
100
A slope that is decreasing is
Negative
100
What is the formula used to calculate the slope
y2 - y1/x2 - x1
100
Please determine if this equation is linear. If not, please state why. y = x + 2
Linear
100
A line passes through the points (3,4) and (-2, -2). Plot both ordered pairs, then state whether the line forms a positive slope, negative slope, zero, or undefined.
positive slope
100
Find the y - intercept, y = x + 2
(0, 2)
200
An equation whose graph exhibits a straight line.
A Linear Equation
200
Please state the slope of the line y = -3.
0
200
Please determine if this equation is linear. If not, please state why. 4x = 6y - 10
Linear
200
Graph the line with the given slope m = 0 that passes through (-4,5) and (8,5).
I need to see a straight horizontal line at y = 5.
200
Find the x - intercept of a straight horizontal line passing through the points (-5, 3) and (2, 3).
No x - intercept; Doesn't exist
300
The slope of a vertical line is
Undefined
300
Calculate the slope of a line that passes through the points (-3,5), (4, -2).
-1
300
Please determine if this equation is linear. If not, please state why. x^2 + y = 2
Non - Linear because x has an exponent to the power of 2.
300
Graph the line that has a slope of m = -3/2 and passes through the coordinates (4, -5).
Your graph should have a negative slope that passes through the coordinates given.
300
Find the x intercept of y = (2/3)x - 7
(10.5, 0)
400
The point that is touched by a line on the vertical axis is called
The y - intercept
400
Find the slope of the line that passes through this pair of points, (4,-3), (8,-3).
0
400
Please determine if this equation is linear. If not, please state why. 9/x - 2 = y
Non Linear, because nine is being divided by x.
400
Graph the standard form equation, 2x + y = 4
Graph should have a negative slope with the line passing through the x - intercept of (2,0) and the y - int of (0,4).
400
Consider this standard form linear equation, 5x + 7y = 21 What are the x and y intercepts?
x - int: (4.2, 0) y - int: (0, 3)
500
After plotting our first pair of coordinates on a graph, we find the slope then use it to carry out a "method" that will enable us to accurately sketch the rest of the graph. What is that method?
Rise/Run
500
Find the value of r if m = 1/5 and the line goes through (-2,4) and (r,5).
r = 3
500
Please determine if this equation is linear. If not, please state why. 5 - 2xy = 6
Non - Linear because upon solving the equation, we would be dividing by one of the variables.
500
Convert y = 2/3x + 1 into standard form then graph.
2x-3y=-3 Graph should be sloping positive and graph should pass through the x - intercept of (-3/2,0) and the y - intercept of (0, 1).
500
What is the x - intercept of a line considering a situation where both the x and y intercepts of a line will be the same value?
The x intercept would occur at the origin, (0,0).