Question

Write the equation of a line in slope intercept form that is parallel to the line 2x-3y=12, and passes thought the point (2,6)? please help for fan!!

Answer 1

Slope-intercept form for the equation of the line is
y = mx + b
parallel lines have the same slope
2x -3y =12 rearrange the equation to make y the subject
y = 2/3(x) - 4
slope ,m = 2/3
parallel line passes through (2,6) x = 2, y = 6 and m = 2/3 plug the values and find b
6 = 2/3(2) + b ; b = 14/3

y = 2/3(x) + 14/3

this is the eqn of the line in slope-intercept form, parallel to the one given and passes through the point (2,6)

Answer 2

thank u!!

Answer 3

can u help with another one?

Answer 4

you are welcome
sure, go ahead and post it

Answer 5

I meant to type perpendicular on my q, not parallel omg :(((((

Answer 6

Write an equation of a line in slope-intercept form that is parallel to the line x+4y=6, and passes through the point (-8,5)???? is the other one

Answer 7

it's ok
perpendicular lines the product of the slope is -1
line 1 the slope is m then the slope of the perpendicular line line 2 is -1/m
m*(-1/m) = -1

Answer 8

follow the format and let me see what you have

Answer 9

I thought you first had to put 2x-3y=12 into slope-intercept form, bit then you get a 'b' and the next step is to solve for be, that's where I was confused. I didn't know if there was a different rule for the problems like this given this way or not?

Answer 10

y=-1/4(x) + 3/2
parallel or perpendicular will determine the slope of the 2nd line, m
point given (-8, 5) so x = -8, y = 5
y = mx + b , find b
write the new equation

let me know if you need more help

Answer 11

y=-1/4(x)+3/2 is what I got. but there is already a 'b' in that equation so I don't know how to solve for the next b, and what to do when i have 2 b's?

Answer 12

The purpose of the first equation is to get m basically ignore everything else

Answer 13

oh okay thank you so muc