(y-1)=-3/4(x-4)?

Question

I need to graph this point slope equation I know the point are 4,1 I don't understand why the points are not -4,-1

Answer 1

(y - 1) = (- 3 / 4) (x - 4)
y - 1 = (- 3 / 4) x + 3
y = (- 3 / 4) x + 4
Points on this line are:-
(0 , 4 )
( 4 , 1 )
( - 4 , 7 )

Answer 2

(y -1) = -3/4 (x-4)

solve equation for y so you can get it in the format for a line formula
y -1 = -3x/4 + 12/4
y - 1 = -3x/4 + 3
y = -3x/4 + 4

the first point (x value) is positive 4, just recheck your algebra i'm sure you just made a mistake with the signs. remembe, when you multiply two negatives it makes a positive. as in: -3/4 * -4 = 12/4 = 3

now that you have this point you can figure out why the y value is 1 and not -1

Answer 3

The easiest way is that you have to set both sides equal to zero to get the point you are looking for. so whenever you have some variable = some other variable, usually the easiest way is to make it 0 = 0. So you have 1 = y because you are solving for y when setting it equal to zero.
So here's your equation

y - 1 = 0
so y = 1 by just adding one to both sides

For x, it's similar. x - 4 = 0 so x = 4.

Answer 4

when u plug in -1 for y....you get -2, which does not equal the value of the other side which is 3/32.