Slope
What is the expression for slope?
Rise over run
What is the equation for slope-intercept form?
y=mx+b
An amusement park charges a $10 entry fee and $2.50 a ride.
What number represents the slope?
$2.50
If a system of equations crosses at one point how many solutions does it have?
One Solution
Is the point (2,3) a solution for the system of equations?
y= 3x - 3
y= x + 1
Yes
What equation can you use to solve for slope?
Y2-Y1 / X2-X1
What does the "m" stand for in y=mx+b?
Slope
An amusement park charges a $10 entry fee and $2.50 a ride.
What number represents the y-intercept?
$10 entry fee
If a system of equations is parallel how many solutions does it have?
Zero Solutions
Is the point (4,2) a solution to the system of equations?
y= - 1/2 x + 4
y= 2 x - 4
What is true about a line that has a proportional relationship?
It goes through the origin.
What variable represents the y-intercept when written in slope intercept form?
B
A) The slope of the line is considered the ______ .
B) The y-intercept of the line is the _______ .
Initial Value, Rate of Change, Cost of proportionality
A) Rate of Change
B) Initial Value
If a system of equations appears as one line, how many solutions does it have?
Infinite Solutions
Which point is a solution to the system of equations?
(4,1) ; (2,5) ; (0, 3)
y= 2.5x + 3
y= -4x - 2
(0,3)
Draw a proportional line that has a slope of 2/3 and goes through the origin
Answers will vary
What is the slope of a line with the equation
y=3x+6
3
The weight of a kitten, in ounces, is represented by the equation w = 5x + 3.5, where x represents the number of weeks since birth. Determine and interpret the slope and y-intercept of the line that represents the equation.
The slope is 5, it represents a weight gain of 5 oz per week. The y-intercept is 3.5, it represents a birth weight of 3.5 oz
Without solving, how many solutions does this system of equations have? Why?
y= 2x + 4
y= 4x + 2
One Solution, the slope is different.
Graph and tell the solution to the system of equations
y= x + 4
y= -2x + 1
(-1, 3)
-2
Draw a line with the equation
y= -2/3x +3
Answers on board
If I have the point (2,4) and I know my slope is 1/2 what is my y-intercept?
3
y= 2x + 4
y= 2x + 3
No solution, same slope different Y-Intercept
What is the solution for the system of equations?
y= 1/2x + 1
y= - 1/2x - 1
(-2,0)