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Slope
Vertical/Horizontal Lines
Slope-Intercept Form
Point-Slope Form
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100
What is another way we say or describe "slope"?
"rise over run" .... rise/run rate of change .... change in y over change in x (y2-y1)/(x2-x1)
100
What is slope of any horizontal line?
m = 0
100
What is the formula for the slope-intercept form of a line?
y = mx + b
100
What is the formula for the point-slope form of a line?
y - y1 = m (x - x1)
100

True or False: The average cloud weighs over 1 million pounds.

True

200
What is the slope of the line if the x-values are going up by 2 while the y-values go down by 3?
slope = (change in y)/(change in x) = -3/2
200
What is the slope of any vertical line?
m is undefined
200
In the equation y=mx+b, what do the m and the b represent?
m is the slope of the line b is the y-intercept
200
What do the x1 and y1 represent in the point-slope form of a line?
They come from a coordinate pair that is a point on the line: ( x1 , y1 )
200

What was the first type of animal to travel to outer space?

Fruit Flies

300
What is the slope of the line that goes through the points (3,7) and (-2,1)?
m = (1-7)/(-2-3) = -6/-5 = 6/5
300
Is y = 6 an example of a vertical or horizontal line?
Horizontal
300
What is the y-intercept (as a coordinate pair) of the line with the equation y=2/3 x + 5 ?
(0,5)
300
If the equation of a line is y+3=2(x-5) , what is a point on the line?
( x1, y1 ) = (5,-3)
300

What fruit will glow blue under a black light?

Bananas

400
What is the slope of the line that goes through the points (-6,-1) and (-2,-8)?
m = (-8--1)/(-2--6) = (-8+1)/(-2+6) = -7/4
400
What is the equation of the vertical line that goes through the point (-3,6)?
x = -3
400
What is the equation of the line, in slope-intercept form, that has a y-intercept of -6 and a slope of -4/3?
y=-4/3 x - 6
400
What is the equation of the line, in point-slope form, that has a slope of -1/2 and goes through the point (-4,2)?
y-2=-1/2(x+4)
400

This condiment was once sold for medicinal purposes.

Ketchup

500
What is the slope of the line that has an x-intercept of -5 and a y-intercept of 10?
x-int: (-5,0) and y-int: (0,10) m = (10-0)/(0--5) = 10/5 = 2
500
What is the equation of the horizontal line that goes through the point (4,0)?
y = 0 (this line is the x-axis)
500
What is the slope-intercept form of the line that passes through the points (5,2) and (0,1)?
m=(1-2)/(0-5)= -1/-5= 1/5 y=1/5 x + 1
500
What is the equation of the line, in point-slope form, of the line that goes through the points (-3,-5) and (1,1)?
m = (1--5)/(1--3) = (1+5)/(1+3) = 6/4 = 3/2 If using (-3,-5): y+5 = 3/2 (x+3) If using (1,1): y-1 = 3/2 (x-1)
500

It would take __________ minutes to fall to the center of the earth. (Hint: It's less than 60 but greater than 5.)

19