Question

Which is most likely the equation of the line shown on the graph?

Answer 1

The y-intercept is at (0, 3)
The slope is up one, over one.
The equation for this line would be
y = 1/1x + 3
which is equal to
y = x + 3

Hope this helps!

Answer 2

The equation of line is y=x+3.

Explanation:

Consider the provided graph.

The slope intercept form of a line is:

y=mx+c

Where m is the slope and c is the y intercept.

y-intercept is a point where the value of x is 0.

From the provided graph we can identify the y intercept of the line is 3. Because at (0,3) the value of x is 0.

Now find the slope of line as shown

`m = (Rise)/(Run)`

Here for 1 unit of run the graph rise 1 unit, thus the slope of the line is:

`m = (1)/(1)=1`

Now substitute the value of m and c in the slope intercept form.

y=x+3

Hence, the equation of line is y=x+3.