Question

What point is the y-intercept of the line represented by the equation 4x+5y=20

Answer 1

y-intercept coordinates: (0, 4)

Explanation:

• We know that for any y-intercept, the x-coordinate is 0, since the line is intersecting the y-axis.

• We essentially want to know the y-coordinate (i.e., the y-intercept).

We can find the y-intercept by substituting 0 for x in 4x + 5y = 20:

4(0) + 5y = 20

(5y = 20) / 5

y = 4

Thus, the coordinates of the y-intercept are (0, 4).