Answer:
Slope intercept form: y = - [tex]\frac{c}{d}[/tex]x + [tex]\frac{e}{d}[/tex]
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;
[tex]\frac{dy}{d}[/tex] = [tex]\frac{e}{d}[/tex] - [tex]\frac{cx}{d}[/tex]
So that,
y = [tex]\frac{e}{d}[/tex] - [tex]\frac{c}{d}[/tex]x
y = - [tex]\frac{c}{d}[/tex]x + [tex]\frac{e}{d}[/tex]
Thus, slope = - [tex]\frac{c}{d}[/tex], and intercept = [tex]\frac{e}{d}[/tex]
Therefore, a general form of the given equation is y = - [tex]\frac{c}{d}[/tex]x + [tex]\frac{e}{d}[/tex].
