Formulas
what is y-intercept in slope intercept form?
b=
Evaluate this equation for slope
y= 2x + 3
M= 2
What is the written form for function notation?
F(x)= mx+ b
What is the formula for AROC?
AROC=Δy/Δx=y2−y1 / x2−x1
What are the four Cartesian plan components?
1. X - axis
2. Y - axis
3. Quadrants
4. Origin
what is slope in slope intercept form?
m=
Determine the y-intercept of this equation
4y=12x - 8
b=-2
Evaluate this function for the given value of x
F(x)= -7x - 1; Find f(0)
Answer= -1
Find the rate of change in the line passing through these points
(2,5) (6,17)
rate of change is 12/4 or 3
How can you tell if a line is parallel?
The line is parallel if they have the same slope, if the lines don't intercept in any way, and if the slope of the lines are the same.
what is the formula for slope-intercept form?
y=mx+b
Determine the slope for this equation
2y = 6x + 4
M= 3
Evaluate this function for the given value of x
f(x)= -5x + 12; Find f( -3)
Answer= 27
Find the rate of change in the line passing through these points *Simplify if needed*
(-8,-4)(-2,5)
rate of change is 3/4
How can you tell if a line is perpendicular?
You can tell if a line is perpendicular if the lines intercept at a 90 degree angle and if the slope of each line is reciprocal & opposites.
what is the formula for vertical change?
y2-y1 over x2-x1
Evaluate the y-intercept for this equation using the formula y=mx + b
(4, -6) (10,3)
B= -12
Find the value of x so the function has a given value
f(x)= -4x +7
Find x when f(x)= -21
x=7
Find the rate of change in the line passing through these points *Simplify if needed*
(-1,4)(3,20)
rate of change is 4
What dose VUX mean when graphing horizontal and vertical lines?
Vertical, Undefined, and X - Equals
what is the formula for slope form?
y-y1=m(x-x1)
Evaluate this equation for slope
2x - 5y = 15
M=2/5
Find the value of x so the function has a given value
h(x)= -3x - 5
find x when h(x)=13
x=-6
Find the rate of change in the line passing through these points*Simplify if needed*
(1,1)(10,28)
rate of change is 3
What does HOY mean in graphing horizontal and vertical lines?
Horizontal, One with a slope of zero, and Y- intercept