Question

write an equation in standard form using only intergers for the line descrived.

The line perpendicular to x-3y=7 and containing (-2,5)

Answer 1

do you know how to find the slope of the line x-3y=7 ?

Answer 2

1/3

Answer 3

perpendicular lines have negative reciprocal slope with the slope of the original line. So first thing you have to do is find the slope of the given line.

Answer 4

1/3

Answer 5

right. then get the negative reciprocal of 1/3. which will be..?

Answer 6

-3

Answer 7

great :)

so so far you have the slope of the perpendicular line which is m=-3

\((y-y_1)= m(x-x_1)\) are you familiar with this?

Answer 8

or y=mx+b

Answer 9

yeah same thing. but \((y-y_1)= m(x-x_1)\) is easier when doing the standard form.
where \((x_1 , y_1)\) is your given point.

substitute all the values given
\(m=-3, x_1=-2, y_1=5\)

Answer 10

3x+y=-1

Answer 11

awesome! you don't need any help lol. you can do it :)

Answer 12

ohh yea lol

Answer 13

keep up the goodwork ;)