compare the function 3x+2y=8 to the function graphed below and then identify which statement is true.
the y-intercept of the graphed function is greater than the y-intercept of the function 3x+2y=8
the two functions have the same x-intercept
the two functions have the same y intercept
the x-intercept of 3x+2y=8 is greater than the x-intercept of the graphed function.
In order to compare the two functions, we first need to determine the equation of the graphed function.
Since the x-intercept is the point where the graph intersects the x-axis, we see that the x-intercept of the graphed function is approximately -1.
Next, let's determine the y-intercept of the graphed function. The y-intercept is the point where the graph intersects the y-axis. By looking at the graph, we can see that the y-intercept is approximately 4.
Now let's compare these values to the function 3x+2y=8.
To find the x-intercept of the function 3x+2y=8, we set y equal to 0 and solve for x:
3x + 2(0) = 8
3x = 8
x = 8/3
Therefore, the x-intercept of the function 3x+2y=8 is approximately 8/3.
Comparing the x-intercepts, we see that the x-intercept of 3x+2y=8 (8/3) is greater than the x-intercept of the graphed function (-1).
Comparing the y-intercepts, we see that the y-intercept of the graphed function (4) is greater than the y-intercept of 3x+2y=8 (0).
Therefore, the statement that is true is: "The y-intercept of the graphed function is greater than the y-intercept of the function 3x+2y=8."