Basic Concepts
The formula used to represent a linear equation in slope-intercept form.
y=mx+b
The point where the line crosses they y-axis
y-intercept (b)
y= 3x +5. What type of slope does this line have.
Positive
What is the slope of the equation y=1/3 x - 5.
m=1/3
In the equation y=-3/4 x + 5, find the y-intercept(b).
b = 5
What is the slope formula?
represented by the letter "m"
slope
Look at the graph. What type of slope is shown?
Negative
Look at the graph. What is the slope of the line shown.
m = -1/2
In the equation y=x-2, find the slope(m).
m=1
How is rate of change(slope) ratio written
change y/ change x
or y/x
The parent linear equation y=x, is now y=x+9. What happened to the line.
Vertical Translation: Up 9
Shifts upward by 9, up 9 from origin, moved up 9
What are the four types of slopes.
Positive, Negative, Zero, and Undefined
What is the slope of the line that passes through the points (4,1)and (0,−19)? Write your answer in simplest form.
m = 5
Use the table provided to write the equation of the linear function represented in slope-intercept form.
y=6x+4
The coordinate pair is written as __________.
(x , y )
The parent linear equation is y = x. Now, it is y=5x+2. What happened to the slope of the line?
Dilation (vertical stretch): line is 5 times steeper
steeper, more inclined ...
A vertical line.
Undefined
Look at the table provided. What is the slope. Simplify your answer, if needed.
m=3
Write the equation of the line in fully simplified slope-intercept form.
y=-2/5 x -7
The term used to describe the steepness of the line in a linear equation.
Slope (m)
When graphing lines what is the "Starting point" and how do I get to my "second point".
Explain using y=-3x-2.
Starting point is "y-int(b)" and then I use "slope(m)" to find second point.
start at -2(b) and then go 3 down and 1 to the right(slope, m).
If the slope is a number that is greater than 1, the line will be steeper or less steep?
Steeper
more inclined
Solve using slope formula. (x , 2) and (-7, -4); m=2
x=-4
the coordinate points are (-4,2) and (-7,-4)
Use the graphing paper provided to graph the line of the equation: y= -x-3
Graph must show correct starting point and slope.