Find the slope and y-intercept of -2x+5y=10

1 answer:

8 0

Simple...

you have:

-2x+5y=10

re-write in y=mx+b form...

-2x+5y=10
+2x +2x

5y=2x+10

Now divide....

5y=2x+10

$\frac{5y}{5} = \frac{2x+10}{5}$

y= $\frac{2}{5} x+2$

Now it's easy to see the slope and y-intercept...

Slope: $\frac{2}{5} x$

Y-intercept:2

Thus, your answer.

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7nadin3 [17]

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4 0

2 years ago

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Help Would Be Greatly Appreciated :)

aliina [53]

Answer:

n is $y=\frac{1}{2}x+b$ , p is $y=\frac{1}{2}x-5$ , and r has infinitely many different lines that have this property.

Step-by-step explanation:

If two lines have no solutions, that means that they are parallel. The slopes of two lines are the same if they are parallel. So n's slope is $\frac{1}{2}$ . The y-intercept can be anything except -5, or +b. If two lines have infinitely many solutions, those two lines are exactly the same. So p is just m. If two lines have one and only one solution, that just means the slopes and y-intercepts are different. Since we don't know anything else about line r, we an't model an equation for it.