Question

How do you write the standard form of a line given (3, -3) and (5, 7)?

Answer 1

The equation of the line in standard form is `y= 5x-y = 18`

Explanation:

The slope of the line passing through `(3,-3) and (5,7)` is `m= (y_2-y_1)/(x_2-x_1)= (7+3)/(5-3)=10/2 =5`

Let the equation of the line in slope-intercept form be `y=mx+c or y=5x+c`

The point (3,-3) will satisfy the equation . So, `-3= 5*3+c or c= -3-15= -18`

Hence the equation of the line in slope-intercept form is `y= 5x-18.`

The equation of the line in standard form is `y= 5x-y = 18` {Ans]