Intercepts
Finding Slope
Linear Functions
Graphing in Slope-Intercept Form
Direct Variation
100
How do you find the x-intercept of an equation?
Replace the y with 0
100
What is the slope of the given equation:
y = -3x + 1
m = -3
100
f(x) = 10x - 71 when x = 3
f(3) = 10(3) - 71
= 30 - 71
= -41
100
What is slope-intercept form?
y=mx+b
100
In order for a linear equation to be called a direct variation, the line must do this.
Go through the origin (0,0)
200
How do you find the y-intercept of an equation?
Replace the x with 0
200
Write the following in fraction form:
Down 3
Right 2
-3/2
200
The equation f(x)=mx+b is a form of writing an equation that is called----------?
What is Function Notation?
200
How would you graph the following equation:
y = 1/2 x + 3
Start at 3 on the y-axis
Go up 1, right 2
Could also go down 1, left 2
200
Name for slope in a direct variation
Constant variation
300
The x and y intercepts for the equation x + 5y = -10
x = -10
y = -2
300
What is the slope formula?
300
FREE SPACE
FREE SPACE
300
How would the equation x = 5 look like?
Vertical line going through 5 on the x-axis
300
What is the constant variation of y = -7/8 x
a = -7/8
400
Type of line that doesn't have a y-intercept
A vertical line
400
Find the slope:
(3, -6) and (-1, 3)
9/-4
400
f(x) = x2 - x + 2 when x = -4
f(-4) = (-4)2 - (-4) + 2
= 16 + 4 + 2
= 22
400
An equation of a line that is parallel to y=2x+3
y=2x ____
400
Is the following equation a direct variation?
-9x + 5y = 0
Yes
y = 9/5 x
500
Find the intercepts of the given equation:
y = 4/5 x - 7
x = 35/4
y = -7
500
Identify the slope from the given equation:
-4x - 2y = 8
y = -2x - 4
m = -2
500
f(x) = 14x - 6 - 2x when f(x) = 8
8 = 14x - 6 - 2x
8 = 12x - 6
14 = 12x
14/12 = x
or
7/6 = x
500
What is an equation perpendicular to y = 8x - 6
opposite reciprocal of 8 is -1/8
y = -1/8 x _____
500
Write the direct variation equation that goes through the point (7, -5)
y = ax, where x = 7 and y = -5
-5 = a(7)
-5 = 7a
-5/7 = a
So, y = -5/7 x