All About Slope
Slope-Intercept Form
Point-Slope Form
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 do you need to write an equation in point-slope form?

a point and a slope!

100

A recording studio charges musicians an initial fee of $50 to record 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 in terms 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.

y= 1 - 4(x-2)

200

You pay a processing fee and a daily fee to rent a beach house. The table shows the total cost of renting the beach house for different number of days. 

Can the situation be modeled by a linear equation? If yes, write a linear equation that represents the total cost as a function of the number of days spent at the beach house. 

y= 102x+42

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 the equation of the line.

y=3x+6

300

Write the equation of the line that passes through the points (-3,-2) and (-1,-1).

y=-2 + (1/2)(x+3) OR y = -1 + (1/2)(x+1)

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 the equation of a line that passes through the points (0,3) and (-6,3).

y=3

400

Write the equation of the line that passes through the points(5,-6) and (-2, 8). 

y=-6 - 2(x-5) OR y=8 - 2(x+2)

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, 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).

y=(-1/4)x+10

500

What is the slope of the line that passes through (-3, 1) and (13, 5).

1/4

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