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:

(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=\frac{A}{B}$$therefore, m =\frac{2}{1}\ which\ gives\ A = 2and\ B = 1$  

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

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