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

Slope intercept form: y = -
`(c)/(d)`x +
`(e)/(d)`

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;

`(dy)/(d)` =
`(e)/(d)` -
`(cx)/(d)`

So that,

y =
`(e)/(d)` -
`(c)/(d)`x

y = -
`(c)/(d)`x +
`(e)/(d)`

Thus, slope = -
`(c)/(d)`, and intercept =
`(e)/(d)`

Therefore, a general form of the given equation is y = -
`(c)/(d)`x +
`(e)/(d)`.