Question

write an equation of the line containing the given point and parallel to given line. Express your answer in the form of y=mx+b (7,8) x+3y=4

Answer 1

The first step is to rearrange the given equation into the form y = mx + b where m is the slope. This value of slope must be the same in the equation you need to find.
x + 3y = 4
Moving x to the right hand side gives:
3y = -x + 4 .............(1)
Can you now put equation (1) into the form y = mx + b?

Answer 2

-x/3+4/3

Answer 3

Yes the given equation now becomes:
y = -x/3 + 4/3
where the slope m = -1/3
So the equation that you need to find is now
y = -x/3 + b ..............(2)
and you must find the value of b by substituting the coordinates of the given point (7, 8) into equation (2). Can you do that?

Answer 4

31/3=b?

Answer 5

Yes, 31/3 or 10 1/3 is correct.

Answer 6

i dont remember how i got the 31/3 to =b

Answer 7

@tishagwen You need to substitute x = 7 and y = 8 into the equation y = -x/3 + b and solve for b.

Answer 8

so the slope does or doesn't get included

Answer 9

8=-7/3+b?

Answer 10

do i get b by itself

Answer 11

Correct so far. Now add 7/3 to both sides.

Answer 12

-8/3

Answer 13

wow.. nevermind.. hit wrong number in calc..
i got the 31/3 again

Answer 14

8 + 7/3 = b -7/3 + 7/3 = b
b = 8 + 7/3 = 24/3 + 7/3 = 31/3

Answer 15

thank you.. my internet disconnected the other day and i hadnt had a chance to get back on here and review it.. and i couldnt remember how i got 31/3

Answer 16

You're welcome :)