Question

I GIVE BRAINIEST

Does the equation y-250x=500 represent the same relationship between the distance from the start of the trail and the elevation? Explain your reasoning pls

Answer 1

The equation of a line with slope m and y-intercept b is:

$y=mx+b$

Isolate y from the given equation to write it in slope-intercept form:

$\begin{gathered} y-250x=500 \\ \Rightarrow y=250x+500 \end{gathered}$

The given equation corresponds to a line with slope 250 and y-intercept 500.

From the image, we can see that the y-intercept is indeed 500, since it is the value of y when x=0.

Notice also that for each increase of 1 unit of the variable x, the variable y increases 250 units. Then, the slope of the graph is 250, the same as the slope of the equation.

We can also check if the equation represents the same line as the graph by evaluating th