Question

Is this correct?

Answer 1

@Vocaloid

Answer 2

@563blackghost

Answer 3

The first one is incorrect. Since the lines are parallel that means we would keep the same slope, let's first turn this into slope intercept.

\(\bf\large{2x+5y=10}\) Subract `2x` from both sides.

\(\bf\large{5y=-2x+10}\) Now divide by `5`.

\(\bf\large{y=-\frac{2}{5}x+2}\)

So our slope is \(\bf{-\frac{2}{5}}\) which we keep and get the equation...

\(\bf\large{y=-\frac{2}{5}x+b}\)

We need to find `b`, so we plug in our known point `(5,-4)`.

\(\large\bf{-4=-\frac{2}{5}(5)+b}\)

Find `b`. What is `b`?

Answer 4

b=2 right?

Answer 5

Close it is `-2`.

Answer 6

So your equation is \(\bf{y=-\frac{2}{5}x-2}\)

Answer 7

i forgot the sign lol

Answer 8

XD make sure to remember it ;)

Answer 9

The second is close, the slope is close, but the y-intercept is wrong.

Since the we want to find a perpendicular line we would find the reciprocal of the slope. So we flip the fraction and change the sign.

\(\large\bf{\frac{x}{2} \rightarrow -2x}\)

So our equation stands at \(\bf{y=-2x+b}\) we need to find b, so we plug in our coordinate that we want the line to go through.

\(\large\bf{8=-2(1)+b}\) What is `b`?

Answer 10

10

Answer 11

Correct. So our equation is \(\bf{y=-2x+10}\).

Answer 12

For the third one, the answer for parallel lines is correct.

REMEMBER perpendicular lines are reciprocal to the slope. `FLIP FRACTION, CHANGE SIGN`.

\(\bf\large{-2x \rightarrow \frac{1}{2}x}\)

So our perpendicular line would be \(\bf{y=\frac{1}{2}x+7}\).

And \(\bf{y=2x-1}\) would be neither.

Answer 13

The fourth one is incorrect. The answer you choose could apply for perpendicular lines since the outcome of the slopes multiplied should equal `-1`. Since parallel lines have same slopes they would equal to each other.

To find the slope of a line we follow by \(\large\bf{\frac{y_{2}-y_{1}}{x_{2}-x_{1}}}\). Plug.

\(\Large\bf{\frac{c-a}{b}=\frac{-d}{e}}\)

Answer 14

thank you for checking, I am sorry but may you please check one more?

Answer 15

sure

Answer 16

\(\LARGE\bf{\checkmark}\)

Answer 17

nicely done!

Answer 18

thank you for checking :D

Answer 19

no problem, if you need help again just message me ^.^ that is if I am not to busy or if I am online.