Question

WHAT IS THE EQUATION FOR THE LINE THAT IS PARRALEL TO THE GIVEN LINE AND THAT PASSES THROUGH A GIVEN POINT ?
Y=1/3X+5/3;(2,1)

Answer 1

you know m=1/3
So use this formula

y-y1=m(x-x1)

Answer 2

y = 1/3 x + 5/3
In this, slope of the line is 1/3. A line parallel to this line will have same slope.

So, the new parallel line is:
y = 1/3 x + b (y-intercept is different). Now, to find b, you need to use the information that this new line passes through x=2,y=1 point.

Answer 3

Since it is parallel, the slope is (1/3)

y = (1/3)x + b

Since we have the point (2,1), we know that x = 2 when y = 1

1 = (1/3)(2) + b

Subtract 2/3 from both sides

1/3 = b

Therefore,

y = (1/3)x + 1/3

Answer 4

@GT I FOR 3X+5/3

Answer 5

AM I WRONG?

Answer 6

meverett has the right y-intercept.

Answer 7

and equation