Question

the y-intercept of the two following points is (4,0) (true or false)
(0,3) and (4,0)
true
false

Explanation:

Step1: Recall y - intercept definition

The y - intercept of a line is the point where the line crosses the y - axis. At the y - axis, the x - coordinate is 0. So, the y - intercept has the form \((0,y)\) for some real number \(y\).

Step2: Analyze the given points

We are given the points \((0,3)\) and \((4,0)\). The point \((0,3)\) has an \(x\) - coordinate of 0, which means it is the point where the line (passing through these two points) crosses the y - axis. The point \((4,0)\) has a \(y\) - coordinate of 0, so it is the x - intercept (where the line crosses the x - axis). The statement claims the y - intercept is \((4,0)\), which is incorrect.

Answer:

False