Consider the graph below:

What is the equation of the line in slope-intercept form?

Step-by-step explanation:

Slope intercept form: where is the slope and is the y-intercept (the value of y when the line crosses the y-axis)

1) Find the slope of the line ()

To do this, we can plug the two given points (0,5) and (4,0) into the slope equation:

Therefore, the slope of the line is .

2) Find the y-intercept of the line ()

Recall that the y-intercept is the value of y when the line crosses the y-axis. We don't actually need to perform any calculations because on the graph, we can see that the line crosses the y-axis when y=5.

Therefore, the y-intercept of the line is 5.

Plugging both and into , we have a final equation of:

I hope this helps!

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse