Question

How do you find the general form of the line that passes through (-2, 7) and (4, 9)?

Answer 1

The equation of the line in standard form is `x -3y = -23`

Explanation:

The slope of the line passing through `(-2,7) and (4,9)` is `m= (y_2-y_1)/(x_2-x_1)= (9-7)/(4+2)=2/6=1/3`

Let the equation of the line in slope-intercept form be `y=mx+c or y=1/3x+c`.

The point (-2,7) will satisfy the equation . So, `7= 1/3*(-2)+c or c= 7+2/3= 23/3 = 7 2/3`

Hence the equation of the line is `y= 1/3x+23/3 or x -3y = -23`#

The equation of the line in standard form is `x -3y = -23` {Ans]