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

`\displaystyle 1(1)/(3)`

Explanation:

[3, 1] and [0, −3]

`\displaystyle (-y_1 + y_2)/(-x_1 + x_2) = m \\ \\ (3 + 1)/(0 + 3) = (4)/(3) = 1(1)/(3)`

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Answer 2

Answer : The slope of line is,
`(4)/(3)`

Step-by-step explanation :

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

`(y-y_1)=m* (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=((y_2-y_1))/((x_2-x_1))`

Here,

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

`m=((-3-1))/((0-3))`

`m=(-4)/(-3)`

`m=(4)/(3)`

Therefore, the slope of line is,
`(4)/(3)`