Question

How do you find a standard form equation for the line with ( 2, 4) and ( 4, -5)?

Answer 1

The equation of the line in standard form is `9x +2y = 26`

Explanation:

The slope of the line passing through `(2,4) and (4,-5)` is `m= (y_2-y_1)/(x_2-x_1)= (-5-4)/(4-2)=-9/2`

Let the equation of the line in slope-intercept form be `y=mx+c or y=-9/2x+c` The point (2,4) will satisfy the equation . So, `4= -9/2*2+c or c= 9+4= 13`

Hence the equation of the line in slope-intercept form is `y= -9/2x+13.`

The equation of the line in standard form is `y= -9/2x+13. or 2y =-9x+26 or 9x +2y = 26` {Ans]