Question

Write the equation of the line that satisfies the given conditions. Express the final equation in standard form.
Contains the point (-2, 4) and is perpendicular to the line 3x − y = 4

Answer 1

i hope you don't mind that i solve this in slope intercept form instead.

Answer 2

I don't mind. as long as I can properly convert it to standard

Answer 3

3x-y=4, rearrange to get
y=3x-4,
the slope for this equation is 3. since the wanted equation is perpendicular to this eqation, its slope will be -1/3.
plug in (-2,4) in y=mx+b
4=-(1/3)(-2)+b
and solve for b

Answer 4

You put it in standard form?

Answer 5

yes, after you've figured out what the slope and the intercept are

Answer 6

ok

Answer 7

I got 4= 2/3b which reduced is b=2/3

Answer 8

4=(2/3)+b
isolate b
b is not equal to 2/3

Answer 9

oh..

Answer 10

yes...

Answer 11

b= 10/3 ?

Answer 12

no
4=(2/3)+b
what do you need to do to isolate b?

Answer 13

subtract the 2/3

Answer 14

so -2/3 + 4 = b

Answer 15

sorry, you were right it is 10/3, I wasn't thinking when i saw that you had written
4= 2/3b where b=2/3

Answer 16

Its ok.. So with 10/3, where do I go now to solve the problem?

Answer 17

plug that the slope into the standard form equation