Question

What is the slope of a line parallel to 10x - 5y = 8?
What is the slope of a line parallel to 4x + 2y = 5?
What is the slope of a line perpendicular to x - 3y = 9?
What is the slope of a line perpendicular to x - 5y = -10?
What is the slope of a line parallel to 4x + y = -1?
A) m = -5
B) m = 2
C) m = -3
D) m = -4
E) m = -2

Answer 1

Are those the answers you suggest? And by slope does it mean gradient?

Answer 2

matching find auto what is what

Answer 3

*out

Answer 4

hmm do you know how to identify the slope or gradient if the equation of line is given.. it's general form is y = mx +c... familiar with it?

Answer 5

If you're trying to find the gradient of an equation, rearrange it so that it's in terms of y= something. For example, y=mx+c. Once it's in that form, the gradient is just whatever m is! For example, for the first one:
\[10x-5y=8\]
Add 5y to both sides, and take away 8 from both sides!
\[5y=10x-8\]
Divide both sides by 2!
\[y=5x-4\]
So the gradient is 5!

Answer 6

aaahhh no.. don't you think it would be 2.. and why would you divide by 2?
you have to make y isolate so you would divide by 5

Answer 7

Oh sorry yeah, my bad! Divide both sides by 5 sorry, and you get y=2x-8/5, so the gradient is 2. Oops!

Answer 8

10x - 5y = 8 slope = 2 (B)

4x + 2y = 5 slope = -2 (E)

x - 3y = 9 perpendicular slope = -3 (C)

x - 5y = -10 perpendicular slope = -5 (A)

4x + y = -1 slope = -4 (D)

Answer 9

Perpendicular Slope = mPS
Slope = m

mPS = -1/m

Answer 10

thats what i got too johana :D