Writing Equations of Lines

Problem: 1

Find the equation of the line passing through the point (3, 4) and having a slope of m = 1.

Problem: 3

Find the equation of the line passing through the point (4, 2) and having a slope of m = –3.

Problem: 5

Find the equation of the line passing through the point (–4,–3) and having a slope of m = 1/3.

Problem: 7

Find the equation of the line passing through the point (5,–2) and having a slope of m = 1/7.

Problem: 9

Find the equation of the line passing through the point (–3,–2) and having a slope of m = 0.

Problem: 11

Find the equation of the line passing through the point (–4, 8) and having a slope of m = 0.8.

Problem: 13

Find the equation of the straight line passing through the point P(0, 4) and parallel to the line x + y = 6.

Problem: 15

Find the equation of the straight line passing through the point P(0, 4) and perpendicular to the line x + y = 6.

Problem: 17

Find the equation of the straight line passing through the point P(0, –5) and parallel to the line 3y = x.

Problem: 19

Find the equation of the straight line passing through the point P(0, –5) and perpendicular to the line 3y = x.

Problem: 21

Find the equation of the straight line passing through the point P(3, 0) and parallel to the line x + 3y = 4.

Problem: 23

Find the equation of the straight line passing through the point P(3, 0) and perpendicular to the line x + 3y = 4.

Problem: 25

Find the equation of the straight line passing through the point P(–5, 2) and parallel to the line y + 3 = 0.

Problem: 27

Find the equation of the straight line passing through the point P(–5, 2) and perpendicular to the line y + 3 = 0.

Problem: 29

Find the equation of the straight line passing through the points (2, 5) and (–4, 5)

Problem: 31

Find the equation of the straight line that passes through the origin and has zero slope.

Problem: 33

Find the equation of a straight line having a y–intercept of 7 and parallel to the x–axis.

Problem: 35

Find the equation of a straight line having a y–intercept 5 and x–intercept 6.

Problem: 37

Find the equation of the straight line passing through (–3, 2) and parallel to the line containing (2, 5) and (3, 4).

Problem: 39

The population of Oregon in the year 1996 was 3,312,000. Its population increases by about 61,200 every year. Find the population of the state in the year 2014 if the rate had been increasing as above during the years 1990 – 1996.

Problem: 41

A book store recorded about $6.9 billion in retail sales during the year 1990. In the year 1997, thee same store recorded $11.2 billion. Write a linear model for the sales s(in billions of dollars) at the bookstore during 1990 – 1997. Then estimate the retail sales for the year 2012.

Problem: 43

A wave breaks at a height h (in feet) which is directly proportional to its wave length l(in feet). Suppose a wave has wavelength of 25 feet and breaks at a height of 5 feet. Write a linear model giving h as a function of l. Then estimate the wavelength of a wave that breaks at a height of 5.5 feet.

Problem: 45

Determine if the data represent direct variation and if so find an equation relating x and y.