﻿ Graphing Lines Worksheet | Problems & Solutions Graphing Lines Worksheet

Graphing Lines Worksheet
• Page 1
1.
Write the equation of the line in the graph.  a. x = -1 b. x = 5 c. y = 1 d. x = 1

Solution:

The graph is a vertical line.

The x-coordinate is always 1.

The equation of the line is x = 1.

2.
The graph shows the net profit of a multinational company. Write an equation to represent the net profit, N, of the company.  a. Y = 2 b. N = 250 c. N = 350 d. Y = 4

Solution:

From the graph, it can be known that between the years 1990 and 1995, the net profit is 350 million dollars per year.

So, the equation for the net profit is N = 350.

3.
Which of the graphs represents the equation y = $3\frac{1}{3}$?  a. Graph 1 b. Graph 2 c. Graph 3 d. None of the above

Solution:

y = 31 / 3 = 10 / 3= 3.3
[Simplify the fraction.]

The y-coordinate is always 3.3, regardless of the value of x.

The points (-3, 3.3), (0, 3.3) and (3, 3.3) are the solutions of the equation.

The graph of the equation y = 3.3 is a horizontal line 3.3 units above the X-axis.

Graph 1 represents the equation y = 31 / 3.

4.
Which of the graphs represents the equation $y$ = - $1\frac{5}{6}$?  a. Graph 1 b. Graph 2 c. Graph 3 d. None of the above

Solution:

y = - 15 / 6= - 11 / 6= -1.8
[Simplify the equation.]

The y-coordinate is always -1.8, regardless of the value of x.

So, the graph of y = - 15 / 6is a horizontal line 1.8 units below the x-axis.
[As y is negative, graph is below x-axis.]

So, Graph 3 represents the equation y = - 15 / 6.

5.
Find two ordered pairs that are solutions of the equation $x$ = 5. a. (0, 5) and (-1, 5) b. (0, 5) and (1, 5) c. (5, 0) and (5, -2) d. None of the above

Solution:

The equation does not have y as a variable.

The x-coordinate is always 5, regardless of the value of y. Draw a vertical line 5 units to the right from the x-axis as shown in the graph.

The ordered pairs of the two points lying on the line drawn are (5, 0) and (5, -2).

6.
Find two ordered pairs that are solutions of the equation $x$ = -8. a. (6, -8) and (-4, -8) b. (-8, 4) and (8, 4) c. (-8, 6) and (-8, -4) d. None of the above

Solution:

The equation does not have y as a variable.

The x-coordinate is always -8, regardless of the value of y. Draw a vertical line 8 units to the left from the x-axis as shown in the following graph.

The two ordered pairs among the points which, lie on the line drawn are (-8, 6) and (-8, -4).

7.
Which of the graphs represents the equation $x$ = -2?  a. Graph 1 b. Graph 2 c. Graph 3 d. None of the above

Solution:

The x-coordinate is always -2, regardless of the value of y . The graph of the equation x = -2 is a vertical line 2 units to the left of the y-axis as shown in the following graph.

The above graph matches with the graph 3.

8.
Graph the equation $x$ = $4\frac{4}{5}$.  a. Graph 1 b. Graph 2 c. Graph 3 d. None of the above

Solution:

x = 445 = 4.8
[Simplify the equation.]

The x-coordinate is always 4.8, regardless of the value of y .

The points (4.8, 3), (4.8, -1) and (4.8, -3) are the solutions of the equation. The graph of the equation x = 44 / 5 is a vertical line 4.8 units to the right of the y-axis as shown in the following graph.

The above graph matches with the graph 1.

9.
Find the equation of the line in the graph.  a. $x$ = -1 b. $x$ = 4 c. $y$ = 4 d. None of the above

Solution:

The graph is a horizontal line 4 units above the x-axis.

So, the y-coordinate is always 4 regardless of the x-coordinate.

The equation of the line is y = 4.

10.
Find two ordered pairs that are solutions of the equation $y$ = - $3\frac{1}{5}$. a. (-2, -3.2) and (2, -3.2) b. (-1, 1) and (1, 1) c. (0, -1) and (1, -1) d. None of the above

Solution:

- 315 = - 165 = -3.2
[Simplify the equation.]

The equation does not have x as a variable.

The y-coordinate is always -3.2, regardless of the value of x. So draw a horizontal line 3.2 units below the x-axis as shown in the following graph.

The ordered pairs of the two points lying on the line drawn are (-2, -3.2) and (2, -3.2).