Graphing Horizontal and Vertical Lines Worksheet

Graphing Horizontal and Vertical Lines Worksheet
• Page 1
1.
Write the equation of the line in the graph.

 a. $y$ = 1 b. $x$ = - 1 c. $x$ = 1 d. $x$ = 5

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 = 4 b. N = 350 c. Y = 2 d. N = 250

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 3 b. Graph 4 c. Graph 1 d. Graph 2

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 2 b. Graph 3 c. Graph 4 d. Graph 1

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 / 6 is 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.
Graph the equation $x$ = $4\frac{4}{5}$.

 a. Graph 1 b. Graph 2 c. Graph 3 d. Graph 4

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.

6.
Find the equation of the line in the graph.

 a. $x$ = 4 b. $y$ = 4 c. $y$ = 0 d. $x$ = - 1

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.

7.
Which of the graphs best suits the equation $x$ = - $7\frac{1}{4}$?

 a. Graph 4 b. Graph 3 c. Graph 2 d. Graph 1

Solution:

x = - 714 = - 294 = - 7.25
[Simplify the fraction]

The x-coordinate is always - 7.25, regardless of the value of y.

The points (- 7.25, 8), (- 7.25, 0) and (- 7.25, - 4) are the solutions of the equation.

So, Graph 2 best suits for the equation x = - 71 / 4.

8.
Which of the following equations represents the equation of the dotted line in the graph?

 a. $y$ = 2 b. $y$ = 0 c. $x$ = 3 d. $x$ = 0

Solution:

The line plotted is the x-axis whose equation is y = 0.

9.
The graph shows the speed of a jet plane for duration of 10 minutes. Write an equation to represent the speed S of the plane.

 a. T = 10 b. S = 300 c. S = 200 d. T = 5

Solution:

From the graph, it is observed that the speed of the jet is 300 m/sec throughout the time period.

So, the equation for the speed of the jet during the period is S = 300.

10.
The ordered pair (1, $\frac{7}{2}$) is a solution of
 a. $x$ = $\frac{1}{2}$ b. $y$ = $\frac{7}{2}$ c. $y$ = $\frac{1}{2}$ d. $x$ = $\frac{7}{2}$

Solution:

The given ordered pair is (1, 72)

The point (1, 72) lies on y = 72 line, as itÃ¢â‚¬â„¢s y-coordinate is 72.