Answer:
The music teacher has a list if 128 students who have signed up for music classes. The music teacher can register 6 students in
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Hi, I'm happy to help!
To find the slope, you need to use the slope formula, where m is the slope:
<u>m=</u><u></u>
Slope means rise over run, or how much the line rises per the amount the line moves forward. This equation shows the movement from the y points to show <u>rise</u>, over the difference in the x points to show <u>run</u>.
Now, to find the slope we insert our values, starting with our second y point:
<u>m=</u><u></u>
Now insert our first y point:
<u>m=</u><u></u>
Now we insert our second x point:
<u>m=</u><u></u>
And finally our first x point:
<u>m=</u>
Now, we solve:
<u>m=</u>
So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.
<u>m=</u>
Now, we simplify our fraction by dividing the top and bottom by 2:
<u>m=</u><u></u>
So, our slope is 1/3. This means that for every 1 unit the line rises, it goes to the right 3 units. The y-intercept is where the line hits the y axis.
If the question is asking for slope intercept form for the equation, you use y=mx+b
y represents any y coordinate on your line, m represents your slope (1/3), x represents any x coordinate on your line, and b represents your y-intercept (3).
If you were to insert these values, you would get:
y=x+3
You use this to find what a y coordinate would be so you can draw your line.
For the next equation we do the same thing:
<u>m=</u><u></u>
Insert our values:
<u>m=</u><u></u>
Get rid of the double negative:
<u>m=</u><u></u>
Solve:
<u>m=</u><u></u>
Simplify:
<u>m=</u>
Now that we know our slope, let's plug it in to our slope intercept form equation.
y=x+3
I hope this was helpful! Keep learning! :D