I attached the graph related to the question
<u><em>Answer:</em></u><u>The equation is:</u>
y = x + 3
<u><em>Explanation:</em></u><u>The general form of the linear equation is:</u>
y = mx + c
where m is the slope and c is the y-intercept
<u>1- getting the slope:</u>
To get the slope, we need two points. From the graph, we can use the points (1,4) and (2,5)
We can now get the slope as follows:
slope =
slope =
Therefore, the equation now became:
y = x \= c
<u>2- getting the value of c:</u>
c represents the y-intercept which is the value of y at x = 0
From the graph, we can find that at x = 0, y is equal to 3
This means that the y-intercept is 3 (c=3)
Based on the above, the equation is:
y = x + 3
Hope this helps :)