Question

Dry graph the line that contains to give them point and has the given slope (-3,0); m=1/8

Answer 1

Given:

The slope (m) of the line given is,

`m=(1)/(8)`

The point given is,

`(-3,0)`

Required:

To draw the graph of the line that contains the given point and has the slope.

Step-by-step explanation:

We have the given point,

`(x_1,y_1)=(-3,0)`

The slope of the line is,

`m=(1)/(8)`

We know the slope-point form of the line given by,

`(y-y_1)=m(x-x_1)`

Therefore, using the given point and the slope in the above form, we get the equation of line as:

`\begin{gathered} (y-0)=(1)/(8)(x-(-3)) \\ \Rightarrow y=(1)/(8)(x+3) \\ \Rightarrow y=(x)/(8)+(3)/(8) \end{gathered}`

The graph of the line containing the given point and the slope is shown below:

Final Answer:

The equation of the line is,

`y=(x)/(8)+(3)/(8)`

The graph of the line is shown in the attachment.