Slope and Y-Intercept: From An Equation
Identify the slope?
y = 2x + 10
2
The part of a linear equation that represents how steep a line is.
The slope (m)
What type of slope does a line have that is going down from left to right?
negative slope
Find the slope of the line passing through the points (4, 3) and (-2, -5)
4/3
Rebecca is draining her pool in order to clean it. The pool starts with 150 gallons of water and is draining at a rate of 10 gallons per minute. Write a linear equation in slope-intercept form to model this situation.
y = -10x + 150
Identify the y-intercept?
y = 3x + 21
21
The part of a linear equation that represents the point where the line crosses the y-axis.
y-intercept (b)
What type of slope does a line have that is going up from left to right?
Positive slope
Find the slope of the line going through the points (5, 6) and (11, 13)
7/6
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation in slope-intercept form to represent this situation.
y=5x+3
Identify the slope.
-8x + 2y = 10
4
What does the letter m stand for in y=mx + b?
the slope of the line
What type of slope does a line have that is going straight up and down?
Undefined slope
Find the slope of a line going through the points (-3, 4) and (-3, 2)
Undefined
John is cutting grass for his neighbors. He charges each neighbor $10 for gas and machine maintenance plus an additional $15 per hour. Write an equation in Slope-Intercept form that represents this situation.
y = 15x + 10
Identify the y-intercept?
-6x + 4y = 32
8
What does the letter b stand for in y=mx+b?
the y-intercept
What type of slope does a line have that is going straight across from left to right?
Zero slope
Find the slope of the line passing through the points (-3, 2) and (-4, 5)
-3
Rufus collected 100 pounds of aluminum cans to recycle. He plans to collect an additional 25 pounds each week. Write an equation in y=mx+b form.
y=25x+100
What is the slope?
5x + 10y = -25
-1/2
To find the slope of a line on a graph, you use ___ over ___.
Rise over run
Identify the type of slope in the following equation:
x = 5
Undefined
Find the slope of a line passing through (8, -2) and (10, -2)
0
A canoe company has a $25 coupon off any rental. A canoe rental cost $45 per hour. Write an equation in y=mx+b form.
y=45x-25