Answer:
Slope intercept form:
y = mx + b
Where 'y' is the independent variable and 'x' is the dependent variable.
'm' represents the slope(rise/run), and 'b' represents the y-intercept(where the line meets the y-axis).
If we look at this graph, we can see the line meets the y-axis at 1. So 1, will be our y - intercept.
We can also see, that from the point 1, it rises 1 and goes over 1. So 1, will be our slope as well.
To double check this, we select two fixed points on this graph and subtract the y-coordinates from each other and divide the result of that by the x-coordinates subtracted from each other.
y2(second y-coordinate) - y1(first y-coordinate)
_____________________________________
x2(second x-coordinate) - x1(first x-coordinate)
We pick the two points to be, (1,2) and (2,3).
3 - 2 1
______ = _______, which is equal to 1, so 1 is the slope.
2 - 1 1
Now we insert these values into our slope intercept form equation:-
y = mx + b
y = 1x + 1 or y = x + 1.
Where 1 is the slope, and the y-intercept is 1.