Question

Input the equation of the given line in slope-intercept form.

The line with m = 2, intersecting 2x - 3y = 6 at x = 3.

Answer 1

slope intercept form:
3y=2x-6
y=2/3 x -2

Answer 2

the line with m=2 @ x=3
y-y1=2(x-3)
you need to find y1.
because 2 line intersecting @ x=3 , y coordinate is the same as well.
let's find it:
y=2/3 *3 -2=0
so point of intersection is: (3,0)

the equation of the desired line will be:
y-0=2(x-3)
y=2x-6