Question

Which is the equation of the line passing through (0,4) and (8,0)?

Answer 1

Answer:

$\sf y = -\dfrac{1}{2} x +4$

Find slope (m):

$\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points$

$\rightarrow \sf slope \ (m): \dfrac{0-4}{4-0} = -\dfrac{1}{2}$

Now, find equation:

$\sf y -y_1 = m(x - x_1) \ \ \ \ \textsc where \ (x_1, y_1 ) \ are \ points$

$\rightarrow \sf y - 4 = -\dfrac{1}{2} (x - 0)$

$\rightarrow \sf y = -\dfrac{1}{2} x +4$