Question

QuestionsWhat is the equation of the line?y = 2x - 4y = 1/2x + 2y = 2x + 2y = 1/2x-4

Answer 1

We have the graph of the equation, and we want to know the equation of the line.

We remember that we need to parts: the slope and the y-intercept. On the graph, we see that when x=0, the graph passes through the point 2, and thus the y-intercept is 2.

`b=2`

Lastly, we will find the slope. For doing so, we will find two values of the line. In this case, we saw that the y-intercept is 2, so a point is (0,2).

Other point is (-4,0), as the x-intercept is -4.

For finding the slope, we remember the formula:

`m=(y_2-y_1)/(x_2-x_1)=(2-0)/(0-(-4))=(2)/(4)=(1)/(2)`

And thus, the slope is 1/2.

This means that the line equation will be:

`\begin{gathered} y=mx+b \\ y=(1)/(2)x+2 \end{gathered}`