Question

What is the equation of the line?

Answer 1

`y=(1)/(2)x+2`

Explanation:

To find the equation for the line, lets try to find the slope and y-intercept of the line.

From looking at the graph, we can see that the line intersects the y-axis at y = 2. So the y-intercept would be 2.

The slope of the line would be the rise divided by the run. Looking at the graph, we can see that for every 2 the line moves in the x-direction, it moves 1 in the y-direction. This means that the rise is 1 and the run is 2. So the slope would be 1/2.

So we now know that the slope is 1/2 and the y-intercept is 2, we can now plug the information into the slope-intercept form.

Slope-intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

Plugging in we get

`y=(1)/(2)x+2`

And now we have the equation of the line.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer 2

y = 1/2x + 2

Explanation:

The y-intercept is 2 because it passes through the y axis at (0,2) and the slope if 1/2

Hope that helps and have a great day!