The general equation of a linear data is [tex]y = mx + c[/tex], where m is the slope, and c is the y intercept. The equation that satisfies the data is: [tex]y =\frac{3}{2}x +9[/tex]
Given:
[tex]x \to -6\ |\ 0\ |\ 6[/tex]
[tex]y \to 0\ |\ 9\ |\ 18[/tex]
First, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{9-0}{0--6}[/tex]
[tex]m = \frac{9}{6}[/tex]
Simplify
[tex]m = \frac{3}{2}[/tex]
The equation of the table is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives:
[tex]y =\frac{3}{2}(x - -6) + 0[/tex]
[tex]y =\frac{3}{2}(x +6)[/tex]
Open bracket
[tex]y =\frac{3}{2}x +9[/tex]
Hence, the equation that satisfies the data is: [tex]y =\frac{3}{2}x +9[/tex]
Read more about equation at:
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