Question

What term describes the point at which this occurs when the x-value is 0.1?

A) x-intercept
B) y-intercept

Select the appropriate term that represents the point when the x-value is 0.1.""

Answer 1

The y-intercept is the point where the line crosses the y-axis, and it occurs when x is zero. For an x-value of 0.1, the term x-intercept or y-intercept does not apply; instead, it is a specific point on the line given by its equation.

Step-by-step explanation:

The appropriate term to describe the point at which the y-value is determined when the x-value is 0.1 is neither the x-intercept nor the y-intercept.

The x-intercept is the point where the graph of an equation crosses the x-axis, which corresponds to a y-value of zero. The y-intercept is the point where the graph crosses the y-axis, occurring when x is equal to zero.

However, when x is any non-zero value, the resulting point on a graph is simply referred to as a point on the line represented by the equation. In the context of the linear equation y = mx + b, the term b represents the y-intercept and indicates where the line crosses the y-axis. If x is 0.1, the result would be a specific y-value on the line based on the given slope m and y-intercept b.