All About Linear Functions
Intercepts
Writing Linear Functions
Slope
Graphing Linear Functions
Rando
100
What is the shape of the graph of a linear function?
Linear functions are those whose graph is a straight line.
100
What are the x and y-intercepts of the following graph?
x-intercept: 2.5
y-intercept: -2
100
Write the equation of a line that passes through (0, 3) with a slope of -4
y = -4 x + 3
100
Identify the slope of the linear equation
y = -x + 6
The slope is -1/1. Down one, right 1.
100
What is slope intercept form?
y = mx+ b
100
What are the two forms we have learned to write a linear equation?
Slope Intercept form
Standard form
200
What is an x-intercept?
The point where a line crosses the x-axis.
200
TRUE or FALSE
A line with a slope that is undefined has a y-intercept
FALSE...it does not go through the y-axis
200
Write a linear function with a slope of -9 and a y-intercept of 5
y =-9x+5
200
Find the slope of a line that passes through the points (0, 5) and (2, 10)
m = 5/2
200
True or False:
The slope of a vertical line is zero.
False. The slope of a vertical line is undefined.
200
What does the line y = x look like?
Diagonal going up to the right
300
What is the difference between a x intercept, y intercept and a slope? How do we find each of them?
x-intercept is where the line crosses the x-axis and you find it by setting y = 0 and solving.
y-intercept is where the line crosses the y-axis and you find it by setting x = 0 and solving.
The slope is rise over run and you can use the slope formula to find it given two points!
300
What are the x and y-intercepts of the linear function
12x – 6y = –36
x-intercept:(-3,0)
y-intercept: (0,6)
300
Write the equation in slope intercept form, when it has a slope of 41 and it goes through (6,7)
y = 41x -239
300
What is the slope of a horizontal line
0
300
Graph y = -2x + 6
Answer will be checked by the teacher!
300
When is your test for Linear Functions?
THURSDAY AND FRIDAY!!!!!!!
400
In Slope Intercept Form, what letter represents slope and what letter represents the y-intercept?
m = slope
b = y-intercept
400
What is the x and y intercept of the following? Then graph where the intercepts are!
2x+ 3y = 9
x = 4.5 and y = 3
400
True or False
When calculating slope, you should always label your points (x1, y2) and
(x2, y1)
FALSE
Label them (x1, y1) and (x2, y2)
400
Draw a slope that is undefined.
Vertical line
400
True or False;
When graphing lines in Point Slope Form, you will use the opposite of x1, y1 AND the opposite of the slope shown.
False. Do not use the opposite of the slope shown.
400
Complete a t-table with 4 coordinates for the following equation y = 1/3 x - 6?
Answers will vary
500
What is a y intercept?
The point on a graph where the line crosses the y axis.
or
The coordinate where the x value is 0.
500
T or F
When graphing in Slope - Intercept form, y = mx + b, the y stands for the y-intercept
False
b stands for the y-intercept
500
Change 3x - 4y = 8 into slope-intercept form.
y = 3/4 x - 2
500
What is the formula used to find Slope?
the steepness of a line
500
True or False: When graphing lines in Standard Form, you must know the slope and a point.
False. You must use the x and y intercepts.
500
What is k if the slope is 5/4 for (6, -8) and (k, 7)
k = 18