What is the y-intercept of the graph of the line given by the equation 3y + 4x = 15

Solution:

The x-intercept and y-intercept are those points in a graph at which a line or a curve intersects the x-axis and y-axis respectively.

Given, the equation is 3y + 4x = 15

We have to find the y-intercept of the graph of the line.

By definition of y-intercept

Substitute x= 0 in the given equation,

Now, 3y + 4(0) = 15

3y = 15

y = 15/3

y = 5

Therefore, the y-intercept is 5.

What is the y-intercept of the graph of the line given by the equation 3y + 4x = 15

Summary:

The y-intercept of the graph of the line given by the equation 3y + 4x = 15 is 5.