A linear function is graphed on the grid. Drag the two points to label the x-intercept and the y-intercept.

Question

The line is slanted at 4 and 6

Answer 1

To identify the x-intercept and y-intercept of a linear function on a graph:

1. X-Intercept: This is the point where the line crosses the x-axis. At this point, the y-value is 0. If a line is slanted and passes through the coordinates where the y-value is 0, that point is the x-intercept.

2. Y-Intercept: This is the point where the line crosses the y-axis. At this point, the x-value is 0. If a line passes through the coordinates where the x-value is 0, that point is the y-intercept.

Based on your description ("the line is slanted at 4 and 6"), it seems you may be referring to some coordinates. Without specific coordinates, assuming the line crosses at (4, 0) and (0, 6):

• Move to the point (4, 0) and label it as the x-intercept.
• Move to the point (0, 6) and label it as the y-intercept.

Feel free to provide more details or clarifications if the coordinates are different!

Answer 2

The graph of a linear function, `f`, is shown. What is the zero of `f`? plotted points are 4,0 and 2,0

Answer 3

The zero of a function is defined as the x-value where the function's output is zero, which corresponds to the x-intercept on a graph.

From the points you provided:

• (4, 0)
• (2, 0)

Both points represent x-intercepts since they have a y-value of 0. Therefore, the zeros of the function \( f \) are \( x = 4 \) and \( x = 2 \).

In conclusion, the zeros of \( f \) are 2 and 4.

Answer 4

wrong

Answer 5

I apologize for the confusion. If the graph of the function shows points (4, 0) and (2, 0) as x-intercepts, that indicates the function equals zero at both of those x-values.

If you're looking for the single "zero" of the function, typically "the zero" refers to the x-intercept that is the point where the function crosses the x-axis. If only one zero needs to be identified, it could be stated as:

• \( x = 2 \)
• or \( x = 4 \)

However, if you're looking for a specific definition or usage (like in a function context), please clarify, and I’ll be happy to assist you further!