Question

write y=$\frac{2x}{5}$-4in standard form

Answer 1

Answer

2x - 5y = 20

And

y = 0.4x - 4

Explanation

The equation of a straight line can be expressed in a number of standard forms. There's the y = mx + c, there's the ax + by = c, a number of different standard forms exist.

The current equation is given in the slope-intercept form, y = mx + c

y = (2x/5) - 4

$\begin{gathered} y=\frac{2}{5}x-4 \\ \text{Multiply through by 5} \\ 5y=2x-20 \\ -2x+5y=-20 \\ 2x-5y=20 \end{gathered}$

So, the two most common standard forms for this equation is

y = 0.4x - 4

And

2x - 5y = 20

Hope this Helps!!!