I need a lot of help with number 2
1 answer:
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Answer:
The slope will be 2/5.
Step-by-step explanation:
is written in slope-intercept form.
This formula looks like:
where:
- M = Slope
- x = independent variable
- b = y-intercept
So:
is our slope
remains our independent variable
is our y-intercept.
1 ). For two lines to be parallel they must have the same slope.
- Slope would remain 2/5
2 ). For two line to be perpendicular they must have slopes that are opposite reciprocals.
- . Slope would become -5/2
As the question states, we must find the slope of a line parallel to the equation given. This means that the slope will remain 2/5.
Lets check our work!
Choose a random ordered pair. I will choose (5, 6).
Now, using point slope-form we can find out if what was said above is true!
This formula looks like:
Let us substitute:
Distribute:
Add 6 to both sides:
Now using both equations I will plot them on a graph to see if they a parallel.
As you can see from the graph below, these lines are parallel. Where the equation you were given is in blue and the equation I made is in red.
Based on all of the evidence, the slope will be 2/5.
Hope this helped! :)
