Question

What is the equation in standard form of the line which passes through (-2, 6) and has a slope of -1?
A. x + y = -4
B. x + y = 4
C. x - y = -4
D. x - y = 4

Answer 1

Were you able to find the equation of the line in slope intercept form?

Answer 2

No I am really bad at this type of math. I have trouble understanding.

Answer 3

y = mx+b is the general equation of any line in slope intercept form

Answer 4

we're given a slope of -1, so m = -1

Answer 5

oh okay yeah i knew that.

Answer 6

we want this line to go through (-2, 6) so x = -2 and y = 6

Answer 7

y = mx+b

y = -1*x+b

6 = -1*(-2)+b

6 = 2 + b

6 - 2 = b

4 = b

b = 4

So we know m = -1 and b = 4 giving us the equation y = -x + 4

making sense so far?

Answer 8

yes

Answer 9

now we just need to move that x term over to the left side to get it into standard form

so we just add x to both sides to do that


y = -x + 4

y+x = -x + 4 + x

x+y = 4

Answer 10

As a check, we can plug (x,y) = (-2,6) into x+y = 4


x+y = 4

-2+6 = 4

4 = 4 ... works


so the answer is confirmed

Answer 11

i learned that last year but i was never refreshed this helped me a lot thank you so much!

Answer 12

you're welcome