We are told both the x-intercept and the y-intercept are 4. The x-intercept is the point where the line crosses the x-axis - in (x,y) notation, the x-intercept in this case is the point (4,0). The y-intercept is the point where the line crosses the y-axis, in this case, the point (0,4).
The slope of a line is found by dividing the rise (change in y) by the run (change in x). You need to know at least two points on the line to calculate the slope. If you know two points (x1,y1) and (x2,y2), then the slope (m) is:
Using our two known points: (0,4) and (4,0), we can calculate the slope as:
Since we know the slope (m) and the y-intercept (b) we can now write the equation for this line in y=mb+b form:
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