3 years ago

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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3 years ago

What is the slope of the line that passes through the points (2, 3) and (8, 6)

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Answer:

The slope of the line that passes through the points (2, 3) and (8, 6) is $\frac{1}{2}$ .

Step-by-step explanation:

To find the slope of two points, divide the difference between the y values by the difference between x values, you can remember this by the mnenomic "rise over run". In this case, the difference between y and x values would be 6 - 3 = 3 and 8 - 2 = 6 respectively. This means the slope between the two points (2, 3) and (8, 6) is $\frac{3}{6}$ or $\frac{1}{2}$ .