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

Question

asked Jul 5, 2020 67.6k views

1 Answer

Aman Agnihotri · Answer 1 · 2020-07-09T01:32:39+0000

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