Question

Draw a line representing the "run" and a line representing the "rise" of the line. State the slope of the line in simplest form.​

Answer 1

Answer : The slope of line is, $\frac{4}{3}$

Step-by-step explanation :

The general form for the formation of a linear equation is:

$(y-y_1)=m\times (x-x_1)$ .............(1)

where,

x and y are the coordinates of x-axis and y-axis respectively.

m is slope of line.

Now we have to calculate the slope of line.

Formula used :

$m=\frac{(y_2-y_1)}{(x_2-x_1)}$

Here,

$(x_1,y_1)=(3,1)$ and $(x_2,y_2)=(0,-3)$

$m=\frac{(-3-1)}{(0-3)}$

$m=\frac{-4}{-3}$

$m=\frac{4}{3}$

Therefore, the slope of line is, $\frac{4}{3}$

Answer 2

Answer:

$\displaystyle 1\frac{1}{3}$

Step-by-step explanation:

[3, 1] and [0, −3]

$\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{3 + 1}{0 + 3} = \frac{4}{3} = 1\frac{1}{3}$

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