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Slope-Intercept
Two Points
From a Graph
Parallel & Perpendicular
Word Problems
100

Write the equation of a line with a slope of 2 and a y‑intercept of 3.

 y = 2x + 3

100

Find the equation of the line through (1,2) and (3,6)

 y=2x 

100

Find the equation of the line:

y=-1

100

Find the equation of the line parallel to

y=2x+1

 that passes through (3,4)

 y=2x-2 

200

Write the equation in slope‑intercept form of a line with a slope of −4 and a y‑intercept of −2

y=-4x-2

200

Determine the equation of the line through (−2,4) and (0,−2)

 y=-3x-2 

200

Find the equation of the line:

y=-2/5x

200

Determine the equation of the line perpendicular to

y=−3x+5

 that passes through (2,−1)

 y=1/3x-5/3 

300

A line has a slope of  3/2   and crosses the y‑axis at (0,5). Write its equation.

y=3/2x+5

300

Find the equation of the line passing through (3,−1) and (7,11)

y=3x-10 

300

Find the equation of the straight line function:


 y=-1x+3 

300

Find the equation of the line parallel to

4x−y=7

that passes through (−1,2)

 y=4x+6 

400

The line  y=2x+b  passes through (3,11). Determine b and write the complete equation.

y=2x+5

400

Find the equation of the line through (−2,3) and (4,−5)

 y=-4/3 x+1/3 

400

Find the equation of the straight line:

 y=4/3x-2 

400

Write the equation of the line perpendicular to

2x+3y=6

 that passes through the origin

 y=3/2x 

400

Ten minutes after an airliner begins its descent, its altitude is 23 000 feet. Five minutes later, its altitude is 15 500 feet.

Determine an equation to model the aircraft’s altitude (A) after it has been descending for t minutes.


 A=-1 500t+38 000 

500

Find the equation in slope‑intercept form of a line whose slope is  -1/2  and whose y‑intercept is 4 more than twice its slope value.

y=-1/2 x+3

500

Find the equation of the line through (6,7) and (6,10)

  x=6  

500

Find the equation of the straight line function:

y=-1/2 x+3/2

500

A line passes through (2,3) and is parallel to the line determined by the points (−1,−1) and (3,7).

 y=2x-1 

500

To host a children’s party at an indoor playground, a family pays a non-refundable deposit plus an additional amount for each child attending. If 10 children attend, the total cost is $380. If 15 children attend, the total cost is $440.

Write an equation to relate the total cost (C) to the number of children attending (n).

 C=12n+260