All About Slope
Slope-Intercept Form
Point-Slope Form
Parallel or Perpendicular
Word Problems
100
What is the formula for finding the slope of a line?
100
What does Slope-Intercept Form look like?
y=mx+b
100
What does Point-Slope Form look like?
(y-y)=m(x-x)
100
What has to be true about the slopes of two lines for them to be parallel?
Slopes have to be the same
100
A recording studio charges musicians an initial fee of $50 to records an album. Studio time costs an additional $75 per hour. Write a linear model that represents the total cost of recording an album as a function of studio time (in hours)
y=75t+50
200
Find the slope of the line containing the points (0,2) and (1,1).
m=-1
200
Given the equation y=2x-7, what is the y-intercept?
y-intercept = -7
200
Write the equation of the line that passes through point (2,1) with slope -4 in Point-Slope Form
(y-1)=-4(x-2)
200
Determine whether the two lines given will be parallel to each other, perpendicular, or neither:
y = 2x - 3
y = -2x + 5
Neither; the slopes are not the same and they are also not reciprocals
200
A plumber charges $15 per hour of service in addition to his flat rate for each service call. After an 8-hour service call, the total bill came to $170. Find the flat-rate fee and write an equation in slope-intercept form for the cost y after x hours of service.
Flat-rate fee: $50
Equation: y = 15x + 50
300
Find the slope of the line containing the points (4,9) and (1,2).
m=7/3
300
A line has a slope of 3 and a y-intercept of 6. Write an equation in slope-intercept form.
y=3x+6
300
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)
300
Determine whether the two lines given will be parallel to each other, perpendicular, or neither:
y = (2/3)x + 8
2x - 3y = -12
Parallel, the two lines both have a slope of 2/3
300
Describe and correct the error in writing an equation of the line that passes through the point (4, -5) and is perpendicular to the line 
Perpendicular lines have an opposite reciprocal slope, not just reciprocal. 
400
What is the slope of a horizontal line?
Zero
400
Write a linear equation that passes through points
(0, -3) and (3,-6) in slope-intercept form.
y = -x -3
400
Write the equation of the line that passes through the points(5,-6) and (-2, 8) in point-slope form.
y - 8 =-2(x + 2)
y + 6 =-2(x - 5)
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
A city water department is proposing the construction of a new water pipe, as shown. The new pipe will be perpendicular to the old pipe. Write an equation that represents the new pipe. 
500
Give another name/phrase for slope
rise over run, m, 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 a linear equation in point-slope form f that passes through (-3,1), (13,5)
(y -1 ) = 1/4(x + 3)
or
(y - 5) = 1/4(x - 13)
500
Write the equation of the line that passes through the points (7, -5) and is perpendicular to the line
y=-3x+16