The y-coordinate of the y-intercept of the line is 4.
We have a straight line -
4x + 5y = -20
We have to determine y-coordinate of the y-intercept of the line.
What is the general equation of a straight line ?
The general equation of a straight line is as follows -
y = mx + c
where -
m - slope of line
c - intercept of line on y - axis.
According to question, we have -
4x + 5y = - 20
Rearranging the equation, we get -
5y = 4x + 20
y = [tex]\frac{4}{5}x[/tex] + 4
Comparing it with the general equation of straight line, we get -
m = 4/5
c = 4
Now, c is the y-intercept of the line. Hence, its coordinates will be -
(0, 4).
Hence, the y-coordinate of the y-intercept of the line is 4.
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