Final answer:
The function being graphed in the given graph is y = -3x + 2.
The answer is option ⇒A
Step-by-step explanation:
To analyze the function and the graph, let's break down the equation and its components:
1. The equation: y = -3x + 2
This is a linear equation in slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
2. The slope, m: -3
The slope indicates the steepness of the line. In this case, the slope is negative, which means the line slopes downwards from left to right.
3. The y-intercept, b: 2
The y-intercept is the value of y when x equals 0. In this case, the line intersects the y-axis at the point (0, 2).
4. The graph:
The graph of y = -3x + 2 is a straight line. It has a negative slope, which means it slants downwards from left to right. The line intersects the y-axis at the point (0, 2), as determined by the y-intercept.
By understanding the equation and the graph, we can conclude that the given graph represents a straight line with a negative slope of -3 and a y-intercept of 2.
The answer is option ⇒A
Your question is incomplete, but most probably the full question was:
Refer to the image below:
What function is being graphed in the given graph?
A) y=−3x+2
B) y=3x−2
C) y=−3x−2
D) y=−x+2