Slope
Direct Variation
Slope-Intercept Form
Point-Slope and Standard Form
Parallel and Perpendicular Lines
100
What is the slope formula?
What is (y2 - y1)/(x2 - x1)
100
The equation of a line is y = 3x. What is the constant of variation?
What is 3.
100
A line has an equation of y = (4/5)x + 3. What is the slope, and what is the y-intercept?
What is: slope = 4/5 and the y-intercept =3
100
What is point-slope form?
What is y - y1 = m (x - x1)
100
What is the relationship between the slopes of two lines that are said to be perpendicular?
What is: their slopes are opposite reciprocals.
200
Line m has a slope of "zero" and line n has a slope of "undefined." What kind of line is each?
What is: line m is horizontal, and line n is vertical
200
The constant of variation can be found as a relation between x and y. What is the relationship that exists between x and y in all direct variation relations?
What is k = y/x
200
When graphing slope-intercept form, explain the steps required to successfully complete this.
What is: 1) Plot the y-intercept 2) Use the slope to find a second point 3) Connect the y-intercept and the second point to form the linear equation
200
What is standard form?
What is Ax + By = C
200
A line has a slope of "zero" and is perpendicular to another line that crosses through the point (2,5). What is the slope of this new line?
What is: Undefined
300
A line crosses through the points (12, 14) and (-3, 4). What is the slope of the line that crosses through these points?
What is 2/3
300
Is the following equation an example of direct variation. If so, what is the constant of variation? 3x + 4y + 7 - 3 = 4
What is yes, this is direct variation, and the constant of variation is -3/4
300
A line crosses through the points (4, 3) and (0, 5). What is the slope-intercept equation of that line?
What is y = (- 1/2)x + 5
300
Name the point and the slope in the following equation. y + 3 = - 4 (x + 5)
What is: Slope: - 4 Point: (-5, -3)
300
A line has a slope of "zero" and is perpendicular to another line that crosses through the point (2,5). What is the equation of this new line?
What is x = 2
400
A line crosses through the following points: (2/3, 3/4) and (4/7, - 5/6) What is the slope of the line that crosses through these points?
What is 399/24
400
Suppose y varies directly with x and y=4 when x =28. What is the direct variation equation that represents this information?
What is y = (1/7)x
400
A line crosses through the points (2, 2/3) and (-4, -5/6). What is the slope-intercept equation of this line?
What is y = (1/4)x + 1/6
400
What are the X and Y intercepts in the equation below? 6x + 8y = 36 *You must name them as an ordered pair*
What is: Y-Intercept (0, 4.5) or (0, 9/2) X-Intercept (6,0)
400
A line is parallel to the equation y = 3x + 14 and also crosses through the point (8,7). What is the equation of the new line?
What is y = 3x - 17
500
A line crosses through the points: (a,b) and (c,d) What is the slope of the line if you know that a = c, b = 3, and c = 28.
What is undefined.
500
Suppose distance varies directly with time. A train travels 910 miles in a total of 14 hours. To the nearest hundredths place, approximately how many hours does it take for the train to travel 3147 miles?
What is 48.42 hours (the decimal of 48.415 rounds to 48.42)
500
The Space Shuttle Discovery is re-entering the earth's atmosphere. At an altitude of 310,000 feet, its temperature is 200 degrees F. At an altitude of 110,000 feet, its temperature has decreased to 150 degrees F. What is the slope-intercept equation of the line that connects these points?
What is y = 4000x - 490,000
500
Jared W. got a part time job working at a local wood-working shop. Jared sells hand-made birdhouses for $12.99 a piece, and hand-made clocks for $43.99 a piece. If Jared hopes to generate a total combined profit of $457.00, what is an equation in standard form to represent this situation. For uniformity, let B = birdhouses and C = Clocks
What is 12.99B + 43.99C = 457
500
A line is perpendicular to the equation y = 7x + 1/2, and also crosses through the point (4, -2). What is the equation of the new line?
What is y = (- 1/7)x - 10/7
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