Question

A function is represented by the graph.

Complete the statement by selecting from the drop-down menu.

The y-intercept of the function​ ​ y=−12x+8 ​ ​​is ______ the y-intercept of the function represented in the graph.


A. Greater than
B. Less than
C. Equal to

Answer 1

a

Explanation:

The y-intercept of the function​ ​ y=−12x+8 ​ ​​is Greater than the y-intercept of the function represented in the graph.

Answer 2

Hi there! The answer is A.

The y-intercept of a line is the point through which the line passes the y-axis. When we're looking at the graph in the attachment, we can conclude that is intersects the y-axis at the point (0, 4). The y-intercept is therefore 4.

The formula of a line in slope-intercept form is y = ax + b. In this formula b represents the y-intercept of the line. Therefore, the y-intercept of the line y= −12x+8 equals 8.

We know that 8 > 4 and therefore the y-intercept of the function y= −12x+8 is greater than the y-intercept of the graphed function.
The answer is A.

~ Hope this helps you!