All About Linear Functions
What is the shape of the graph of a linear function?
Linear functions are those whose graph is a straight line.
What are the four possible slopes a line could have?
Positive, Negative, Zero, & Undefined
Write the equation in point-slope form of a line that passes through (2, 3) with a slope of -4
y -3 = -4 (x -2)
Parallel lines are lines in the same plane have the same ____________?
Slope
Alexander Hamilton
What is an x-intercept?
The point where a line crosses the x-axis.
Find the slope of the line that passes through the pair of points.
(-3, -2), (- 3, 2)
Undefined
Write the point and slope from the equation.
(4, -5); m = 13
Two lines are perpendicular if they intersect to form ______________.
Right Angles
Who was President Washington's Secretary of State?
Thomas Jefferson
The form of a linear equation that shows the slope and one point is the ___________?
Point-Slope Form
What is the slope of the equation that is in Standard form?
12x – 6y = –36
The slope is 2.
Write the equation in point-slope form of the line that passes through the given points.
(2, 4), (-3, -6)
y - 4 = 2(x - 2)
Are the graphs of y = 4/3x + 5 and y = - 3/4x + 2 parallel, perpendicular, or neither?
Perpendicular
What was the first animal to ever be cloned?
A Sheep
Two lines are perpendicular when their slopes are ______________?
Find the rate of change in the table.
x 1 2 3 4
y -2 1 4 7
Rate of change is 3.
Write an equation in slope-intercept form of the line that passes through the given points.
(- 7, - 3), (- 12, 5)
y = - 1.6x - 14.2
Are the graphs of the two equations parallel, perpendicular, or neither?
y = 6x + 2
18x - 3y = 15
Parallel
Which month of the year is National Ice Cream Month?
July
Write the equation given in slope-intercept form.
15x - 3y = - 21
What is . . .
y = 5x + 7
Without graphing, tell whether the slope of the line that models the linear relationship is positive, negative, zero, or undefined. Then find the slope.
"A babysitter earns $9 for 1 h and $36 for 4 h"
Positive
The slope is 9.
y + 2 = 2/3(x + 4)
2x - 3y = - 2
Write an equation that is perpendicular to the graph of the given equation.
(3, 5); y = - 3x + 7
y = 1/3x + 4
Anna, Elsa Kristoff and Olaf are all characters in what animated movie?
Frozen