Answer:
Step-by-step explanation:
The "y intercept" is the point at which the graph intercepts the y-axis. In this case that point is (0, 20).
The "x intercept" is the point at which the graph intercepts the x-axis. In this case that point is (5, 0).
The slope of the line is m = rise / run. Here the "rise" is actually a drop from y = 20 to y = 0, so "rise" = -20. The "run" is the increase from x = 0 to x = 5, which is 5. Thus, m = the slope = -20/5 = -4. The slope is m = -4.
Given that we know the slope, m, of this line (m = -4) and two points on the line (use (0, 20) ), we can write the equation of the line immediately in point-slope form y - k = m(x - h), which in this particular case is
y - 20 = m(x - 0), or
y - 20 = -4x
Alternatively, we could put this into standard form: 4x + y = 20, or into
slope-intercept form: y = -4x + 20
