Slope
What is slope-intercept form?
y = mx + b
What is point-slope form?
y - y1 = m(x - x1)
Ax + By = C
Convert the following equation to slope-intercept form:
y - 6 = 1/2(x + 16)
y = 1/2x + 14
What is the name of the wizard school Harry Potter attends?
Hogwarts
When graphing linear equations (in slope intercept form), where do we begin?
We begin at the y-intercept.
What information does point-slope give us?
A point on the line and the slope.
What information does standard form give us?
Easy access to the x and y-intercept
Convert the following equation into standard form:
y = -3x + 15
3x + y = 15
What is the name of the NFL championship game?
Super Bowl
Describe how you use slope on a graph.
Rise over run!
Rewrite the following equation in slope-intercept form:
-5y - 15x = 90
y = -3x - 18
Write an equation in point-slope form that has a slope of -1/2 and passes through the point (-5 , 7)
y - 7 = -1/2(x + 5)
What is the x and y intercepts of the following equation?
6x + 15y = 30
(5 , 0) and (0 , 2)
Convert the following equation into standard form:
y = 3/4x + 2
3x - 4y = -8
Which U.S. president is known for the Gettysburg Address?
Abraham Lincoln
Find the slope of the line that includes the following points. (4, -5) (-4, 5)
-10/8 which simplifies to -5/4
What is the y intercept of an equation passing through the points (-1 , 3) and (3 , 11)
(0 , 5)
Describe how you would graph the following equation:
y + 6 = -5(x - 1)
Layla wants to go take her friends to a music festival and she has a total of 150 dollars to spend. Regular admission tickets cost $6 and VIP tickets cost $30.
How can you represent this situation with a linear equation?
6x + 30y = 150 OR 30x + 6y = 150
Convert the following equation into slope-intercept form AND standard form.
y + 6 = 2(x - 4)
y = 2x - 14
-2x + y = -14
Which animal sleeps standing up?
Horse
Find the slope of the line that includes the following points. (-12, -9) (-3, -3)
-6/-9 = 6/9 = 2/3
Write an equation in slope-intercept form using the following points:
(3 , 4) and (2 , 5)
y = -x + 7
Write an equation in point-slope form that passes through the point (-2 , 3) and the origin.
y - 3 = -3/2(x + 2) OR y = -3/2x
Leah has $60 and wants to buy some different kinds of dried fruit. Apricots cost $15 per pound and Prunes cost $12 per pound. Represent the situation with a linear equation. If Leah wants to buy the most amount possible of one or the other, what is the most amount of each dried fruit she can buy?
15x + 12y = 60 OR 12y + 15x = 60
4 pounds of apricots or 5 pounds of prunes
Write an equation in standard form from the following points:
(-3 , 4) and (-5 , 5)
x + 2y = 5
Which athletic brand is known for its three-stripe logo?
Adidas