Question

What is the equation of the line shown in the graph?

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Drag and drop the expressions to write the equation of the line in slope-intercept form.

Answer 1

The given line passes through points (0,4) and (-2,0) . So firstly we can find the slope of the line as ,

Now we may use point slope form of the line as ,

And we are done!

Explanation:

Answer 2

The given line passes through points (0,4) and (-2,0) . So firstly we can find the slope of the line as ,

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

`\longrightarrow m =(4-0)/(0-(-2))\\`

`\longrightarrow m =(4)/(2)\\`

`\longrightarrow m = 2`

Now we may use point slope form of the line as ,

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

`\longrightarrow y - 4 = 2(x-0)\\`

`\longrightarrow y -4 = 2x \\`

`\longrightarrow \underline{\underline{ y = 2x +4}}`

And we are done!