Question

How do you find a standard form equation for the line (2,3) (0,0)?

Answer 1

The equation of the line in standard form is `2y -3x =0`

Explanation:

The slope of the line passing through `(2,3) and (0,0)` is `m= (y_2-y_1)/(x_2-x_1)= (0-3)/(0-2)=(-3)/-2 =3/2`

Let the equation of the line in slope-intercept form be `y=mx+c or y=3/2x+c` The point (0,0) will satisfy the equation . So, `0= 3/2*0+c or c= 0`

Hence the equation of the line in slope-intercept form is `y= 3/2x`

The equation of the line in standard form is `y= 3/2x or 2y =3x or 2y -3x =0` graph{3/2x [-10, 10, -5, 5]} {Ans]