Question

What is the slope of a line parallel to the line whose equation is 5x – y = –9. Fully

reduce your answer.

Answer 1

The slope is:

⇨ 5

Work/explanation:

This equation is almost in perfect slope intercept. Let's rearrange it just a little.

`\sf{5x+y=-9}`

`\sf{-y=-5x-9}`

`\sf{y=5x+9}`

Now, parallel lines have equal slopes. This means that whatever the slope of line A is, the slope of line B will be the same, if lines A and B are parallel.

The slope of
`\sf{y=5x+9}` is 5.

So the slope of the line parallel to it is 5.

Extra info

Slope intercept is y = mx + b where the slope is m and the y-intercept is b.

Answer 2

Answer: y= 5x+9

Step-by-step explanation: you subtract the 5x from both sides where it becomes a negative. then you divide everything by -1 and you come out with y=5x+9