Question

What’s the equation of the line

Answer 1

Answer:

$y = - \frac{1}{3}x + 5$

Step-by-step explanation:

Consider two points through which the line passes.

Let it be ( 0 , 5 ) and ( 6 , 3 )

Step 1 : Find slope

    $Slope, m = \frac{y_2 - y_ 1 }{x_2 - x_1}$

                 $= \frac{3-5}{6-0} \\\\=\frac{-2}{6}\\\\= -\frac{1}{3}$

Step 2 : Find the equation of the line passing through the points.

       $( y - y_1) = m (x - x_1)\\\\(y - 5) = -\frac{1}{3} ( x - 0) \\\\y = -\frac{1}{3}x + 5$