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We know that when a line intercepts the y axis, x is 0. So substitute x as 0, which makes the equation 5y = 20 and divide both sides by 5, so y = 4 which is the y intercept.

Write equation in slope-intercept format, y = mx + b, where b is the y-intercept.


4x + 5y = 20

5y = -4x + 20

y = -4/5 x + 20/5

y = -4/5 x + 4


y = mx + b

y = -4/5 x + 4

b = 4


Answer: y-intercept = (0, 4)