linear Flashcards
slope formula
y-y/x-x
rate of change is the same as
slope
gradient is the same as
slope
sybol of change
delta (triangle)
slope in a word problem is what….
happens over and over again
What word is generally in a word problem and tells us it is the slope
per
finding slope from a graph we count
rise over run
looking at a graph we know it is linear if it looks like what?
a straihght line
If we see a graph of a straight line we know it is what type of function?
linear
If we see a u shaped graph what type of function is it?
quadratic
If we see a v shaped graph what type of function is it?
absolute value
How do we know if points are going to create a linear function?
If they have a constant slope
How can we graph any equation if we don’t remember what form it is in?
Create an xy chart
If we make an xy chart, what do we do?
Pick x values and then plug in the points for x to get the y values. Plot the points and connect the line
What is point slope form
y-y1=m(x-x1)
What does m stand for in point slope form?
slope
What is the slope in y-7=3(x-4)
3
What is the slope in y-7=-2(x-4)
-2
What is the slope in y-7=5(x-4)
5
What is the slope in y-7=-0.3(x-4)
-0.3
What is the slope in y-7=10(x-4)
10
What is the starting point from the equation y-5=2(x+3)
(-3,5)
What is the starting point from the equation y+6=2(x+3)
(-3,-6)
What is the starting point from the equation y-5=2(x-1)
(1,5)
What is the starting point from the equation y+6=2(x-1)
(1,-6)
What is the starting point from the equation y-8=2(x-3)
(3,8)
What is the starting point from the equation y+1=2(x-1)
(1,-1)
What is the starting point from the equation y-5=2(x-3)
(3,5)
What is the starting point from the equation y-8=2(x+7)
(-7,8)
To graph from point slope form, we plot the point and then
use the slope (rise over run)
What do parallel lines look like on a graph?
they will never cross
What do we know about the slopes of parallel lines?
they are the same
If we see two equations with the same slope what does that mean about the lines?
They are parallel
What do perpendicular lines look like on a graph?
they cross at 90 degrees
What do we know about the slopes of perpendicular lines?
They are negative reciprocals We flip the fraction and multipply by -1
If we see two equations with negative reciprocal slopes what does that mean about the lines?
they are perpendicular (they cross at 90 degrees)
What does negative reciprocal mean?
flip the fraction and multiply by -1
What is the negative reciprocal of -2/5
2-May
What is the negative reciprocal of 3
-0.333333333
What is the negative reciprocal of -2
2-Jan
What is the negative reciprocal of -1/5
5
What is the negative reciprocal of 5/8
-1.6
What is the equation of a vertical line?
x=#
If we see x=7 how would we graph that
a vertical line at 7
What is the equation of a horizontal line?
y=#
If we see y=7 how would we graph that
a horizontal line at 7
What is the slope of a horizontal line
0
What is the slope of a vertical line?
undefined
To find a y intercept, what do we do?
x=0 solve for y
How do we write a y intercept?
(0, )
To find an x intercept, what do we do?
y=0 solve for x
How do we write an x intercept?
( ,0)
What does a y intercept look like on a graph
the point the line crosses the y axis
What does an x intercept look like on a graph
the point the line crosses the x axis
If we see a line crossing the y axis what is that point?
y intercept
If we see a line crossing the x axis what is that point?
x intercept
