Slope and y-intercept
What is the slope and the y-intercept of a graph with the equation y = 2x + 3
slope = 2, y-intercept = 3
Ms. Chatelle ran 4.5 miles in an hour. Create a table to show how many miles she can walk for up to 4 hours.
1 hour = 4.5
2 hours = 9
3 hours = 13.5
4 hours = 18
What does the slope of a line mean?
The steepness of the line
What is the difference between a graph that shows a proportional relationship and a graph that shows a linear relationship?
A Proportional relationship will be a straight line that runs through the origin
A Linear relationship is a straight line that does not run through the origin
What is the equation that represent a linear relationship in slope intercept form?
y = mx + b
What is the the linear equation for a graph that has a slope of -1/2 and a y-intercept of -4?
y = -1/2x + -4
Ms. Chatelle makes $14 per hour. Create a graph that shows how much money she can make for up to 5 hours.
GRAPH
1 = 14
2 = 28
3 = 42
4 = 56
5 = 70
The slope of a vertical line is what type of slope?
The slope of horizontal line is what type of slope?
No slope or Undefined.
Zero slope
In a proportional relationship, the data line will always go through which coordinate point?
The origin, or (0, 0)
In slope intercept form, the m stands for _____ and the b stands for _____
m = slope
b = y-intercept
What is the slope and the y intercept in the equation
y = x?
slope = 1
y-intercept = 0
Use the equation to create a table when x= 0, x =1, x=2, x=3
y = 3x + 2
x = 0 y = 2
x = 1 y = 5
x = 2 y = 8
x = 3 y = 11
What is the formula to find the slope a line that passes through two coordinate points?
y2 - y1
_______
x2 - x1
Proportional and Linear relationships always have this kind of change.
Constant rate of change.
When graphing an equation in slope intercept form, the b tells you to do this first.
Plot this point on the y-axis.
How do you find the slope and the y-intercept when looking at a graph?
y-intercept is where the data line crosses the y-axis
slope - rise/run
The graph of x = -4 forms a ________ line and represents a ________ slope.
Vertical line
No slope/ undefined
Find the slope between the two points: (-4, 1) and (1, -2).
m = -3/5
In a proportional relationship, m stands for one of these three things.
Constant rate of change, slope, or unit rate.
When graphing an equation in slope intercept form, the m tells you to do this?
The rise over run from the y-intercept.
How do you find the slope and the y-intercept when looking at a data table?
when x=o, y=the y-intercept
Slope - find the constant rate of change (change in y/change in x)
The graph of y = 5 forms a ________ line and represents a ________ slope.
Horizontal line that represents a zero slope
The points in the table lie on a line. Find the slope.
x 2 3 4 5 6
y 24 20 16 12 8
slope = -4
The equation that represents a linear relationship should be in what form? (A specific name)
slope-intercept form
Use the table to create an equation in slope intercept form.
x -2 0 2 4 6
y 14 8 2 -4 -10
y = -6/2x + 8
y = -3x + 8