Super Slope
Excellent Equations
On the Line (1 try!)
Q1-3 Throwback
February Trivia
100
What is the slope of this line? (simplify if possible)
1
100
Write the slope-intercept equation of the line with slope of -4/5 and y-intercept of 12
y=-4/5x+12
100
Is the point (4,1) on the line?
x+y=5
Yes!
4+1=5
is a TRUE statement
100
Simplify this expression:
-3-5d+e-2d+9
6-7d+e
100
What did the groundhog predict last week?
6 more weeks of winter (saw his shadow!)
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200
Find the slope of the line through the points (1, 1) and (10, 4). Simplify if possible!
1/3
200
Write the slope-intercept equation for the line with y-intercept of 2/3 and slope of 10
y=10x+2/3
200
Is the point (2,3) on the line?
y=2x+3
No!
3=2(2)+3
3=7
is a FALSE statement
200
Solve for q:
4(3+2q)-5=23
q=2
200
What is the most popular food eaten on Super Bowl Sunday?
Chicken wings
300
Find the slope of the line through the points (17, -9) and (17, 10). Simplify if possible!
Undefined!
300
Write the slope-intercept equation of the line through the point (4, 5) with a slope of 0
y=5
300
Is the point (0,5) on the line?
y=10x-15
No!
5=10(0)-15
5=-15
is a FALSE statement
300
Solve for a:
1+2a+4b=6c
a=3c-2b-1/2
300
An infamous king of what country made Valentine's Day an official holiday?
England! In 1537, King Henry VIII officially declared February 14 the holiday of St. Valentine's Day by royal charter. He had six wives: two he divorced, two he beheaded, one died, and one outlived him.
400
Find the value of y so that the line through the points (5, 6) and (8, y) has a slope of -4/3
Plug points into slope formula, then solve for y:
-4/3=(y-6)/(8-5)
-4/3=(y-6)/3->-4=y-6->2=y
y=2
400
Write the slope-intercept equation of the line through the point (1,4) with a slope of 7
y=7x-3
400
Is the point (-30,50) on the line with slope of -3/2 and y-intercept of 5?
Yes! Equation of this line is
y=-3/2x+5
Plug in point (-30,50):
50=-3/2(-30)+5
50=45+5
is a TRUE statement
400
Solve for k:
2-5(k+6)<-8
k> -4
400
Presidents Day! Two Presidents died on the 4th of July in 1826. John Adams was one; who was the other? (Hint: he wrote the Declaration of Independence)
Thomas Jefferson
500
Find the value of x so that the line through the points (4,-7) and (x,-9) has a slope of 2
Plug points into slope formula, then solve for x:
2=(-9-(-7))/(x-4)
2/1=(-2)/(x-4)->2(x-4)=-2->x-4=-1
x=3
500
Write the slope-intercept equation of the line through the points (-3, 5) and (-2, -3)
y=-8x-19
500
Is the point (36, 27) on the line that has a slope of 5/3 and goes through the point (63, 72)?
Yes! First find the equation: have m and a point, need b...
b=y-mx=72-5/3(63)=72-105=-33
Equation:
y=5/3x-33
Plug in (36, 27)
27=5/3(12)-33=60-33=27
is a TRUE statement!
500
Solve for m:
|7-3m|=1
(Hint: two solutions!)
m={2,8/3}
500
Black History! The mathematician Katherine Johnson (whose story is told in the movie "Hidden Figures") worked at NASA for 3N years, and she lived for 3 years more than 3 times her number of years at NASA.
N is a two digit prime number less than 30 whose digits are the same. How long did she live?
N is 11
Years at NASA = 3*11 = 33
She lived 3 + 3*33 = 3 + 99 = 102 years!
