Question

Write the equation of the line in fully simplified slope-intercept form.

Answer 1

From the graph, we can write that

The equatuon of line passes through (0,4) and

(-8,0) points.

So

$\sf \: slope \: \: m = \frac{4 - 0}{0 - ( - 8)} = \frac{4}{8} = \frac{1}{2} \\ \therefore \green{\sf \: m = \frac{1}{2} }$

Intercept of Y-axis c = 4

So equation is :

$\bf \: y = mx + c \\ \bf = > y = \frac{1}{2} x + 4 \\ \bf = > 2y = x + 4 \\ \bf= > \orange{ \boxed{ \bf \: x - 2y + 4 = 0}}$