Concept explainers
Graph each equation by making a table.
Answer to Problem 11CYU
This a graph parallel to x − axis. The points on the graph are:
Explanation of Solution
Given:
The equation:
Concept Used:
The equation of a line parallel to x-axis:
Let AB be a straight line parallel to x-axis at a distance b units from it. Then, clearly, all points on the line AB have the same x − value b. Thus, AB can be considered as the locus of a point at a distance b from x-axis and all points on the line AB satisfy the condition y = b.
Thus, if P(x, y) is any point on AB, then y = b. |
Hence, the equation of a straight line parallel to x-axis at a distance b from it is y = b.
To graph the equation make y as subject and make a table by choosing random value of x and find the corresponding value of y.
Calculation:
Step 1: in this equation
Take random value of x and find the value of corresponding y
Make a table:
x | (x, y) | |
– 8 | ||
0 | ||
6 |
The points are:
Graph of the equation:
Thus, the points on the graph are:
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Algebra 1
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