Question

Use the graphing tool to determine the intercepts.

x-intercept =



y-intercept =

Answer 1

The x-intercept of a line is found by setting y to zero and solving for x, while the y-intercept, represented as b in the equation y = mx + b, is the point where the line crosses the y-axis.

Step-by-step explanation:

To determine the x-intercept and y-intercept of a linear equation using graphing tools, we need to locate the points where the line crosses the x-axis and y-axis respectively. For the general equation of a line in slope-intercept form, y = mx + b, the variable b represents the y-intercept and indicates the point where the line intersects the y-axis. In contrast, the x-intercept is the point where the line crosses the x-axis, and it is found by setting y to zero and solving for x.

The y-intercept is the value of y when x equals zero. It can be directly identified from the graph as the point at which the line crosses the y-axis. In the slope-intercept form y = mx + b, the constant b is the y-coordinate of this intercept. In the context of a regression line with the equation î = -266.8863 + 0.1656x, the y-intercept would be -266.8863.

Understanding the y-intercept is important because it provides a starting point for the line on the graph. Yet, it's not always meaningful to evaluate the y-intercept in every context, such as when predicting a score for a nonexistent value.

Answer 2

Step-by-step explanation:

To determine the intercepts of a function, you need to follow the following steps:

For the x-intercept, set y = 0 and solve for x.

For the y-intercept, set x = 0 and solve for y.

Therefore, to determine the intercepts of a function, you need to know the equation of the function. Suppose you have the function equation f(x) = 2x + 3. To find the intercepts, you can follow the steps below:

To find the x-intercept, set y = 0, so you have:

0 = 2x + 3

Then, solve for x:

-3/2 = x

Therefore, the x-intercept is -3/2.

To find the y-intercept, set x = 0, so you have:

y = 2(0) + 3

Then, solve for y:

y = 3

Therefore, the y-intercept is 3.