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3 years ago

What is (5y+6)-(10y+3)

Mathematics

2 answers:

melisa1 [442]3 years ago

6 0

$5y + 6 - 10y - 3 \\ - 5x + 3$

Aleks04 [339]3 years ago

6 0

(5y + 6 ) - (10y + 3 )

Let's simplify step-by-step.

5y + 6 −(10y + 3)

Distribute the Negative Sign:

= 5y + 6 + −1(10y + 3)

= 5y + 6 + −1(10y) + (−1)(3)

= 5y + 6 + −10y + −3

Combine Like Terms:

= 5y + 6 + −10y + −3

= (5y + −10y) + (6 + −3)

= −5y + 3

Answer: = −5y + 3

Hope that helps!!!!! : )

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3 years ago

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2 years ago

How do i find the slope

Elodia [21]

Hi, I'm happy to help!

To find the slope, you need to use the slope formula, where m is the slope:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

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 rise, over the difference in the x points to show run.

Now, to find the slope we insert our values, starting with our second y point:

m= $\frac{2-y_{1 } }{x_{2} -x_{1} }$

Now insert our first y point:

m= $\frac{2-4 }{x_{2} -x_{1} }$

Now we insert our second x point:

m= $\frac{2-4 }{-3 -x_{1} }$

And finally our first x point:

m= $\frac{2-4 }{-3 -3 }$

Now, we solve:

m= $\frac{-2 }{-6}$

So, our slope is -2/-6, to simplify it, we remove both negatives because they cancel each other out.

m= $\frac{2 }{6}$

Now, we simplify our fraction by dividing the top and bottom by 2:

m= $\frac{1}{3}$

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= $\frac{1}{3}$ 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:

m= $\frac{y_{2}-y_{1 } }{x_{2} -x_{1} }$

Insert our values:

m= $\frac{4-1}{2-(-4)}$