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

To rewrite y = 2x + 5 in standard form, simply subtract 2x from both sides and then multiply by -1 to get 2x - y = -5, which is option A.

Step-by-step explanation:

To rewrite the slope-intercept equation y = 2x + 5 in standard form, we need to manipulate the equation so that it fits the format Ax + By = C, where A, B, and C are integers and A is non-negative. The steps are as follows:

Subtract 2x from both sides of the equation: y - 2x = 5.

Rearrange the terms to fit the standard form: -2x + y = 5.

Multiply the entire equation by -1 to make the coefficient of x positive: 2x - y = -5.

Therefore, the correct answer is A) 2x - y = -5.

Answer 2

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

Step-by-step explanation:

Slope intercept form of equation of line is
`y = mx+c \ where\ m\ is \ slope`

The standard form of equation is
`Ax + By + C = 0`

Now let
`m=(A)/(B)`
`therefore, m =(2)/(1)\ which\ gives\ A = 2and\ B = 1`

substituting the value of A and B in slope intercept form,

`y = (A)/(B) x+5\\\y = (2)/(1) x+ 5\\By\ simplifying,\\1y = 2x + 5\\on\ rearranging\ the\ above\ equation \\2x-y=-5\\which\ gives\ a\ standard\ form\ of\ equation\ Ax +By +C= 0\ where\ A= 2,\ B= (-1)\ and\ C = 5`