Question

Every straight line has an equation of the form cx​ + dy​ = e, where not both c and d are 0. Such an equation is said to be a general form of the equation of the line. Find a general form of the given equation. yx

Answer 1

Answer:

Slope intercept form: y =  - $\frac{c}{d}$x + $\frac{e}{d}$

Step-by-step explanation:

Given the general equation;

cx + dy = e

To make y the subject of the formula;

dy = e - cx

Divide through by d, to have;

$\frac{dy}{d}$ = $\frac{e}{d}$ - $\frac{cx}{d}$

So that,

y =  $\frac{e}{d}$  - $\frac{c}{d}$x

y =  - $\frac{c}{d}$x + $\frac{e}{d}$

Thus, slope = - $\frac{c}{d}$, and intercept = $\frac{e}{d}$

Therefore, a general form of the given equation is y =  - $\frac{c}{d}$x + $\frac{e}{d}$.