Slope and Direct Variation
Slope-Intercept Form
Point-Slope Form
Parallel or Perpendicular
Misc.
100
What is the formula for finding the slope of a line?
100
What does Slope-Intercept Form look like?
y=mx+b
100
Graph the line y = 8.
What is a horizontal line passing through 8 on the y axis with zero slope.
100
What has to be true about the slopes of two lines for them to be parallel?
What is the slopes have to be the same/equal
100
State the standard form of an equation.
What is Ax+By=C
200
Find the slope of the line containing the points (0,2) and (1,1).
m=-1
200
A line has a slope of 3 and a y-intercept of 6. Write an equation in slope-intercept form.
y=3x+6
200
What does Point-Slope Form look like?
(y-y1)=m(x-x1)
200
What has to be true about the slopes of two lines for them to be perpendicular?
What is the slopes are opposite reciprocals.
200
Describe the translation between the equation
y = |x| and y =|x+1|-3?
What is a v shaped graph with vertex at (-1, -3). The translation is 1 unit left and 3 units down.
300
Does the following equation represent direct variation? If so, what is the constant of variation, k?
2x+5y = 0
What is yes, y = -2/5x
k = -2/5
300
Identify the slope and y - intercept of the line
4x-3y=15
What is m = 4/3
b = -5
300
Write the equation of the line that passes through point (2,1) with slope -1/4 in Point-Slope Form
(y-1)=-1/4(x-2)
300
Which lines, if any, are parallel or perpendicular?
Lines a and b are parallel.
Lines a and c are perpendicular and lines b and c are perpendicular.
300
You start a dog walking service. You spend $20 on supplies. You plan to charge $10 to walk each pet. Formulate an equation to relate your profit, y, to the number of pets, x, you walk.
y=10x-20
400
What is the slope of a horizontal line and a vertical line?
Horizonal Line: m = Zero and Vertical Line: m = undefined
400
Graph the equation y = 4/3x +5
What is point at (0, 5) on the y -axis with a positive slope of 4/3.
400
Write the equation of the line that passes through the points (-3,-2) and (-1,-1) in Point-Slope Form
y+2=(1/2)(x+3) OR y+1=(1/2)(x+1)
400
Write an equation of the line that passes through the point (-2, 5) and is parallel to the line 
y=(1/2)x+6
400
Use the trend line in the graph to predict the gift card balance after 5 meals have been purchased.
What is $55.
500
Give another name/phrase for slope, without using rise over run or writing the formula.
rate of change, change in y over change in x, steepness,
500
Write the equation of the line that passes through the two points (0, 10) and (20,5) in slope-intercept form.
y=(-1/4)x+10
500
Write an equation in point slope form that passes through the point (2, 4) and (-6, 3).
y - 4 = 1/8(x-2) or y - 3 = 1/8 (x+6)
500
Write the equation of the line that passes through the points (7, -5) and is perpendicular to the line
y=-3x+16
500
A store sells T-shirts for $12 each and Sweatshirts for $15 each. You plan to spend $120 total on T-shirts and Sweatshirts. Let x represent the number of T-shirts sold and y the number of Sweatshirts. Write an equation to represent the situation and determine the x and y intercepts.
What is 12x+15y = 120.
x - int (10, 0)
y - int (0, 8)