Question

Check my answers?
A line has a slope of 7 and contains the point (5, −9).

Which equations represent the line?

Choose all answers that are correct.

A.
−7x + y = −44 <----

B.
7x – y = 44 <----

C.
(y − 9) = 7(x + 5)

D.
(y + 9) = 7(x − 5)

Answer 1

\(y = mx + b\)

m = 7, so

\(y = 7x + b\)

Using point (5, -9)

\(-9 = 7(5) + b\)

\(-9 = 35 + b\)

\(b = -44\)

The equation of the line is

\(y = 7x - 44\)

Answer 2

-7x + y = -44
y = 7x - 44
(5,-9)....x = 5 and y = -9
-9 = 7(5) - 44
-9 = 35 - 44
-9 = -9 (correct)....this is correct

y + 9 = 7(x - 5)
y + 9 = 7x - 35
y = 7x - 35 - 9
y = 7x - 44.....this is one also

Answer 3

A. −7x + y = −44
y = -7x - 44 <----- correct

B. 7x – y = 44
y = 7x - 44 <------ correct

C. (y − 9) = 7(x + 5)
y - 9 = 7x + 35
y = 7x + 44 <----- incorrect

D. (y + 9) = 7(x − 5)
y + 9 = 7x - 35
y = 7x - 44 <------ correct

Choices A, B, and D are the answer.

Answer 4

So c is the only wrong one

Answer 5

Exactly.

Answer 6

yep

Answer 7

Thank you (again)

Answer 8

yw