What is the equation of a line with slope of 3 and going through the point (2, 4)

Mathematics

1 answer:

dsp733 years ago

8 0

The correct answer is a.y=3x-4

You might be interested in

The product of any fraction and 1/6 will always be less than 1?

avanturin [10]

That is not true, but 1/6 is less than 1

3 0

3 years ago

What is the slope of the line shown below?

Sophie [7]

Hi there!

$\large\boxed{slope = \frac{1}{5}}$

Use slope formula to solve for the slope of the line:

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

Plug in points into the equation. We can use the points (0, -10) and (25, -5):

$slope = \frac{-5-(-10) }{25 -0 } = \frac{5}{25} = \frac{1}{5}$

3 0

3 years ago

A bag contains 42 red marbles, 6 white marbles, and 8 gray marbles. You randomly pick out a marble, record its color, and put it

Elanso [62]

For any single draw,

$\mathbb P(\text{white})=\dfrac6{42+6+8}=\dfrac6{56}$
$\mathbb P(\text{gray})=\dfrac8{42+6+8}=\dfrac8{56}$

Drawing a white marble or a gray marble are disjoint events; only one of them can happen. So

$\mathbb P(\text{white or gray})=\mathbb P(\text{white})+\mathbb P(\text{gray})-\underbrace{\mathbb P(\text{white and gray})}_0$
$\mathbb P(\text{white or gray})=\dfrac6{56}+\dfrac8{56}=\dfrac{14}{56}$

Out of 224 draws, you should expect $\dfrac{14}{56}\times224=56$ of the marbles to be either white or gray.