General
General
Easy
Question
Write a linear function for the data given below.
Hint:
We are given a table of values of x and y. Using the values, we have to write a linear function. A linear function is a function where the highest degree of variables is 1. The variables can be multiplied by constants. The operation between variables is addition or subtraction.
The correct answer is:
For this question, we will use the slope intercept form
The slope intercept form is y = mx + c.
Here, y and x are the given values. The variable “m” represents a slope or the rate of change of the values. The variable “c” is the y-intercept.
Using the values from given table, we will find the values of m and c.
From the table we can see that y is changing by value 9. And, x is changing by value 1.
The equation becomes y = 9x + c.
To find the value of c, we will substitute one of the ordered pair of x and y in the given equation.
Let’s substitute x = 1 and y = 10.
y = 9x + c
10 = 9(1) + c
c = 10 – 9
c = 1
We will substitute this value in the above equation.
y = 9x + 1
Therefore, the linear equation for the given table is y = 9x + 1.
A linear equation when plotted on graph gives a line. For such questions, we should know about the slope intercept form.
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