Mathematics: Find the equation of the line passing through points A(3,4) and B(1,10)

Find the equation of the line passing through

BrianKeokot4534

20.07.2021

y = -3x + 13

Step-by-step explanation:

First, find the slope:

$m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{4-10}{3-1}\\\\m=\frac{-6}{2}\\\\m=-3$

Finally, find the equation:

$y-y_1=m(x-x_1)\\\\y-4=-3(x-3)\\\\y-4=-3x+9\\\\y=-3x+13$

0,0(0 оценок)

rcherala

07.01.2020

$\dfrac{1}{2}$

Step-by-step explanation:

We know that on a standard number cube, there are total 6 outcomes.

The number written on a standard number cube = 1,2,3,4,5,6

Prime numbers = 2,3,5

Now, the theoretical probability of rolling a prime number on a standard number cube will be :_

$\dfrac{\text{Number of primes}}{\text{Total numbers}}\\\\=\dfrac{3}{6}=\dfrac{1}{2}$

Hence, the theoretical probability of rolling a prime number on a standard number cube = $\dfrac{1}{2}$

0,0(0 оценок)