Question

Given a graph of a line you can write it’s equation aim slope-intercept form by simply identifying its slope and y-intercept

Answer 1

From the graph, we observe that,

The y-intercept is 7.

Next to find the slope:

Take points are (0,7) and (2,2).

Using the slope formula,

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ =(2-7)/(2-0) \\ =-(5)/(2) \end{gathered}`

Hence, the slope is

`m=-(5)/(2)x`

Then, the equation of the line can be obtained by using the formula is,

`\begin{gathered} y=mx+c \\ y=-(5)/(2)x+7 \end{gathered}`

Hence, the equation of the line is,

`y=-(5)/(2)x+7`