We observe that the relationship between the variables is linear.
Therefore, we look for an equation of the form:
[tex]b = m * a + b '
[/tex]
Where,
m: slope of the line
b ': intersection with the y axis
a: independent variable
b: dependent variable
The value of b 'occurs when a = 0.
We have then:
[tex]b '= -10
[/tex]
(See table)
Then, the value of the slope is found using the following formula:
[tex]m = \frac{b2-b1}{a2-a1} [/tex]
Substituting values:
[tex]m = \frac{-7-(-10)}{1-0} [/tex]
Rewriting:
[tex]m = \frac{-7+10}{1} [/tex]
[tex]m = 3 [/tex]
Thus, the linear equation is:
[tex]b = 3*a-10 [/tex]
Rewriting:
[tex]3*a-b=10 [/tex]
Answer:
The equation is:
C.) 3a-b=10
