Question

Rewrite the slope intercept equation of the line y = 2x + 5 in standard form. A) 2x - y = -5 B) 2x + y = 5 C) -2x - y = -5 D) 2x + y = -5

Answer 1

Answer: OPTION A.

Explanation:

The Standard form of the Equation of a line is the following:

`Ax + By = C`

Where "A", "B" and "C" are integers (
`A>0`)

Given the equation of the line in Slope-Intercept form:

`y = 2x + 5`

You can follow these steps is order to rewrite it in Standard form:

1. Subtract 5 from both sides of the equation:

`y-(5) = 2x + 5-(5)\\\\y-5=2x`

2. Subtract "y" from both sides of the equation:

`y-5-(y)=2x-(y)\\\\-5=2x-y`

Therefore, the equation of the given line in Standard form is:

`2x-y=-5`