Graphing Linear Equation
Solving Linear Equations by Graphing
Rate of Change and Slope
Direct Variation
Proportional and Nonproportional relationship
100
What is a linear Equations Standard Form
Ax + By = C
100
What is a linear function's parent function?
f(x) = x
100
What is the rate of change/slope formula ?
m=frac{y_2 - y_1}{x_2 -x_1}
100
Direct variation equations are of what form?
y=kx
100
A graph is proportional if its equation is of what form and passes through the what ?
y =kx and origin
200
What are the condition to be in standard form?
A>=0, A and B are both not zero, and A, B, C are integers with a greatest common factor of 1.
200
The word solution in the phrase "solution of an equation" is synonymous to what other words?
root
zero
x-intercept
200
Determine whether the table is linear or nonlinear.
Linear
200
The k in the direct variation equation is called the what?
The constant of variation
200
A graph is non proportional if what and does not pass through what ?
the ratio of x to the value of y are different
origin
300
Which equation is not a linear equation?
y = 3x + 4
y = 3x-1+1
9x + 4y + 3x = 2
y = 3x-1+1
300
Algebraically solve this equation.
3x + 1 = -2
x = -1
300
Find the slope of the line.
-2/3
300
Find the constant of variation in the equation y = 13x
k = 13
300
Write the equation of the graph in function notation and state whether it is proportional or non proportional.
f(x) = x + 2
non proportional
400
Identify the x and y intercepts.
(6, 0)
(0, -3)
400
What is the related function to 3x + 1 = -2
f(x) = 3x + 3
400
Fine the of the line through the pair of points.
(5, 3), (6, 9)
6
400
The graph of y = kx always passes through the what ?
Origin
400
Write an equation in function notation for table. Is the relation proportional or non proportional?
proportional
f(x) = 3/2x
500
What are the x and y intercepts of the equation 2x+4y=12?
(6, 0)
(0, 3)
500
After graphing the linear equation, what part of the graph is the solution to the equation?
Where the line of the graph crosses the x axis; the x-intercept
500
Find the value of r so that the line through (1, 4) and (-5, r) has a slope of 1/3
r = 2
500
If y varies directly with x, and y = 11/4 when x = 11, find y when x =10
y = 5/2
500
Write an equation in function notation for table. Is the relation proportional or non proportional?
non proportional
f(x) = 2x + 1