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Word Problems
Slope and Rate of Change
Slope-Intercept Form
Other Forms
Parallel and Perp
100
The rate of change of a situation is the _____ in an equation and the starting amount is the ______ in an equation
SLOPE Yintercept
100
This is the formula for finding slope given 2 points (x1, y1) and (x2, y2).
What is m = (y2 - y1)/(x2 - x1)
100
Given the linear equation y = mx + b, this letter represents slope and this letter represents y-intercept.
What is slope = m and y-intercept = b
100
What is point slope form?
y-y1 = m (x-x1)
100
Parallel Lines have the ______ slope
SAME
200
Sarah has $10. She is buying cookies for $1 each and coffees for $2.50 each. Write an equation to represent how many cookies she can buy (X) and how many coffees she can buy (Y) with $10.
1x + 2.5y = 10
200
This is the slope of the line that passes through points (-1, 11) and (2, 10).
What is m = -(1/3)
200
This is the slope and y-intercept for equation y = 2x + 3
What is m = 2 and b = 3
200
What is standard form and how do you use it to find x and y intercepts?
Ax+By=C x intercept : plug in zero for y y intercept: plug in zero for x
200
Y = 6x - 5. A line perpendicular to this line has a slope of____
m = -1/6
300
This is the x- and y-intercepts of the linear equation 2x - 6y = 6
What is x-intercept (3, 0) and y-intercept (0, -1).
300
This is the slope of the line that passes through points (-2, 5) and (4, 5).
What is m = 0
300
This is the slope and y-intercept of 4x + 2y = 10
What is m = -2 and b = 5
300
Write the equation of the line that passes through the points (2,4) and (-3,-6). Answer should be in slope intercept form
What is y = 2x
300
Write the equation in point slope form of the line that is parallel to y= 3x + 3 and passes though the point (6,-2)
y+2 = 3(x-6)
400
Nick is collecting pencils. He starts out with 8, and plans to collect 3 pencils per day. Write an equation that represents the number of pencils Y he will have at any day X. When will he have 71 pencils?
Y= 8+3X OR Y=3X+8 Will have 71 pencils 21 days after he starts.
400
This is the slope of the line that passes through points (5, -6) and (5, 10).
What is m is undefined.
400
This is the slope and y-intercept of -3x + 4y - 12 = 0.
What is m = (3/4) and b = 3
400
Write equation of the line that passes through the points (-6,6) and (3,3) What is the y intercept of your line?
y-6 = -1/3 (x+6) or y-3 = -1/3 (x-3) or y=-1/3x+4 4
400
Are the lines y = 3/4x-5 and -4x +3y=8 Parallel, perpendicular or neither?
Neither : slopes are 3/4 and 4/3, (have the same sign so not perpendicular)
500
An electrician charges a $45 flat fee to make a house call, and then $50 for each hour he works. Write an equation that represents the total cost Y, for the electrician working X hours. - How much will a 5 hour visit cost? - If Sally paid $795, how many hours did the electrician work?
y=45+50x $295 15 Hours
500
Suppose a graph shows the altitude of a plane during 3 hours of flying: between hours 0 and 1 the plane went from 0 feet to 30,000 feet; between hours 1 and 2 the plane went from 30,000 to 35,000, and between hours 2 and 3 it went from 35,000 to 0 feet. This gives us a) the rate of change between the intervals as well as b) the time interval that saw the greatest rate of change. (hint: graph this first!).
What is a) 30,000, 5,000, -35,000 and b) the interval between hours 2 and 3.
500
This explains how to graph 2x + y = -1 using the slope-intercept method
What is find the slope (m = -2) and y-intercept (b = -1), plot the y-intercept, and then from the y-intercept go down 2 and to the right 1 to find other points, which are then connected.
500
Write the equation in standard form of the line that has the same slope as the line y+3 = 3(x+4), and passes through the point (-4,-7)
5x - y = -13 or -5x + y =13
500
Write the equation in slope intercept form of the line that passes through the point (1,-2) and is perpendicular to the line y=5x+4
y=-1/5x-9/5