[tex]__________________________[/tex]
We can use the point-slope form to write an equation. All we have to do is to substitute the given values into the equation.
[tex]\sf y - y_1 = m(x - x_1)[/tex]
[tex]\sf y - ( - 2) = ( \frac{1}{3}) (x - ( - 6))[/tex]
[tex]\sf y + 2 = ( \frac{1}{3} )(x + 6)[/tex]
[tex]\sf y + 2 = \frac{1}{3}x +2[/tex]
[tex]\sf y + \cancel{ 2 - 2}= \frac{1}{3}x + \cancel{2 - 2}[/tex]
[tex]\sf y = \frac{1}{3}x [/tex]
∴ The equation is y = x/3
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LINEAR EQUATION IN TWO VARIABLES
[tex]__________________________[/tex]
We can use the point-slope form to write an equation. All we have to do is to substitute the given values into the equation.
[tex]\sf y - y_1 = m(x - x_1)[/tex]
[tex]\sf y - ( - 2) = ( \frac{1}{3}) (x - ( - 6))[/tex]
[tex]\sf y + 2 = ( \frac{1}{3} )(x + 6)[/tex]
[tex]\sf y + 2 = \frac{1}{3}x +2[/tex]
[tex]\sf y + \cancel{ 2 - 2}= \frac{1}{3}x + \cancel{2 - 2}[/tex]
[tex]\sf y = \frac{1}{3}x [/tex]
∴ The equation is y = x/3