Question

What is most likely the slope of the line graphed above

Answer 1

To calculate the slope of a line on the coordinate grid, we start by identifying two points anywhere along the line.

On this line given, two points are located at the following coordinates;

`\begin{gathered} A=(-3,0) \\ B=(0,1) \end{gathered}`

Note however that, we can equally use any other points but other points would turn out to have fractions or decimals. Hence, for the sake of making our calculations less cumbersome, we have identified two points that lie on exact positions without any decimal or fractions.

The formula to calculate the slope shall be;

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

Where the varaibles are;

`\begin{gathered} (x_1,y_1)=(-3,0) \\ (x_2,y_2)=(0,1) \end{gathered}`

The slope now becomes;

`\begin{gathered} m=(1-0)/(0-\lbrack-3\rbrack) \\ m=(1)/(0+3) \\ m=(1)/(3) \end{gathered}`

ANSWER:

The slope is 1/3

The correct answer is option A