Question

A line passes through (3, -2) and (6, 2).

Answer 1

A. So first do slope formula which is (2+2)/(6-3). This gets you the slope of 4/3. Point slope form is y-2=4/3(x-6).
B. Then plug in a point in slope intercept form which I will do (6,2). This would get you the equation 2=4/3(6)+b. b=-6. Your slope intercept form is y=4/3x-6. Turn this into standard formats form by subtracting 4/3x from both sides to get y-4/3x=6. Finally multiply both sides by three to get your final answer of 3y-4x=18.