Question

the y-intercept of the two following points is (0,7) (true or false)

(0,7) and (3,0)

true
false

Explanation:

Step1: Recall y - intercept definition

The y - intercept of a line (or the graph of a function) is the point where the line crosses the y - axis. By definition, on the y - axis, the x - coordinate of the point is 0. So, a point with an x - coordinate of 0 is a candidate for the y - intercept.

Step2: Analyze the given points

We are given two points: \((0,7)\) and \((3,0)\). The point \((0,7)\) has an x - coordinate of 0. This means that when \(x = 0\) (which is the condition for a point on the y - axis), \(y=7\). So, the line passing through these two points will cross the y - axis at \((0,7)\), which is the y - intercept.

Answer:

True