Slope= 3, contains points (2,1)

Question

i need help writing this equation for a paper I am doing in math, I am very very confused . Please help me, with a few questions . Thank you

Answer 1

slope = 3

point on the line is (2,1)

y-1 = 3(x-2) = -3x -6

y =3x-5 is the equation of the line in slope intercept form with slope =3 thru (2,1)

or

3x-y -5 = 0

in standard form

or

3x-y =5 in general form

slope = 3 = (y-1)/(x-2)

in point slope form

multiply by x-2 to get

y-1 = 3x -6

add one to both sides

y = 3x -5

check the answer, plug in the point (2,1) replacing x by 2 and y by 1

1=3(2)-5 = 6-5 = 1