Linear v. Nonlinear
How can you tell if a graph represents a linear or a nonlinear relationship?
Linear - straight line
Nonlinear - not a straight line
What is the equation of a line that has a slope of 4 and a y - intercept of (0, 5) in slope intercept form?
y = 4x + 5
What is the y - intercept in the equation y = 2x - 3 as a coordinate?
(0, 3)
How can you tell if an equation represents a linear or a nonlinear relationship?
Linear - highest degree on independent variable is 1
Nonlinear - highest degree on independent variable is not 1
What is the equation of a line that passes through the points (3, 2) and (4, 3)?
y = x - 1
What is the x - intercept in the equation y = 2x - 4 as a coordinate?
(2, 0)
How can you tell if a table represents a linear or a nonlinear relationship?
Linear - change in y / change in x is constant
Nonlinear - change in y / change in x is not constant
Rearrange the following equation so that it is in slope y intercept form:
6x - 2y + 20 = 0
y = 3x + 10
What is the x intercept in the equation 2x + 3y = 12?
(6, 0)
Ms. Dufault is going to pull up a photo. Please tell her if it's linear or nonlinear.
What is the equation of a line that passes through (4, 5) and is perpendicular to y = 2x + 3?
y = -0.5x + 7
What does the point of intersection tell you (How would you use it to answer a question?)
Up until the POI something is better, at the POI it's the same, after the other option is better
Ms. Dufault is going to pull up a table. Is it linear or nonlinear?
Linear
What is the equation of a line that is parallel to 4x - y + 3 = 0 and has the same y - intercept as -4x + 3y + 15 in slope y - intercept form.
y = 4x - 5
How can we tell if coordinates on a graph make a rectangle (use specific terms!)?
Two sets of parallel lines (should be opposite each other) and all lines that intersect need to be perpendicular.