Question

Determine the x-intercept and the y-intercept for the graph of this equation:
2x - 3y + 36 = 0

Answer 1

QUESTION:- DETERMINE THE X-INTERCEPT AND THE Y-INTERCEPT FOR THE GRAPH OF THE EQUATION.

EQUATION:- 2x - 3y + 36 = 0

STANDARD EQUATION:- y=mx+c

where

1. m-> slope.
2. c-> Y-INTERCEPT
3. x&y are the coordinates.

SO GIVEN EQUATION:- 2x - 3y + 36 = 0

WE CAN SOLVE THIS TO CHANGE IN FORMAT OF STANDARD EQUATION

`2x - 3y + 36 = 0 \\ 2x + 36 =3y \\ y = (2)/(3) x + (36)/(3) \\ y = (2)/(3) x + \frac{ \cancel{36}^( \: \: 12) }{ \cancel3} \\ y = (2)/(3) x + 12 \\`

SO :-

`m = (2)/(3) \\ y - intercept = 12 \: ans`

`slope = (y2 - y1)/(x2 - x1) \\ (2)/(3) = (0 - 12)/(x - 0) \\ 2x = ( - 12) * 3 \\ x = \frac{ - \cancel{12}^( \: \: 6) * 3 }{ \cancel{2}} \\ x = - 18 \: \: ans`