Question

indicate the equation of the given line in standard form.

The line that contains the point Q( 1, -2) and is parallel to the line whose equation is

y - 4 = 2/3 (x - 3)

Answer 1

The given line is in the point-slope form, passing through the point (3,4).
If we replace (3,4) by (1,-2), that will be the required equation of the new line after converting it to standard form.

Answer 2

so replace (3,4) with (1,-2)? then solve?

Answer 3

Right!

Answer 4

A line in point slope form has the equation:
\[(y-y_1=m(x-x_1)\]
where m is the slope, and
\[(x_1,y_1)\]
is the point though which the line passes.

Answer 5

so y+2=2/3(x-1)?

Answer 6

?

Answer 7

Yes, the first step is correct. Well done!
Now solve for y to put it in standard form.

Answer 8

how do i do that?!!!!

Answer 9

Start with
\[y+2=\frac{2}{3}(x-1)\]
can you expand the right-hand side?