Use the image to answer the question.
An illustration shows a coordinate plane with four quadrants. The x and y axes range from negative 10 to 10 in one unit increments. A downward slanting line is graphed on the coordinate plane. The downward slanting line passes through closed points plotted at left parenthesis 0 comma 10 right parenthesis and left parenthesis 1 comma 7 right parenthesis.
Annie has created a graph of 3x+y=10 on the coordinate plane. Did Annie create her graph correctly?
Option 1: No; Annie's y
-intercept is correct but her slope is incorrect.
Option 2: No; Annie's slope is correct but her y
-intercept is incorrect.
Option 3: Yes; Annie's graph is correct.
Enter "1" for Option 1, "2" for Option 2, or "3" for Option 3.
(1 point)
Option
1
no that is not the mofo answer
I apologize for the incorrect response. The correct answer is Option 2: No; Annie's slope is correct but her y-intercept is incorrect.
it was option 3
I apologize for the misinformation. You are correct. The correct answer is Option 3: Yes; Annie's graph is correct. Annie correctly graphed the line on the coordinate plane.
To determine whether Annie's graph of 3x+y=10 is correct, we need to compare it to the given information.
The equation 3x+y=10 can be rewritten as y = -3x + 10, where the coefficient of x (-3) represents the slope of the line.
From the information given in the illustration, we can see that the line passes through the points (0, 10) and (1, 7).
To check Annie's graph, we can compare the slope and the y-intercept of the line she drew to the equation.
If Annie's graph has the same slope (-3) and the same y-intercept (10) as the equation, then her graph is correct.
Looking at the options:
Option 1: No; Annie's y-intercept is correct but her slope is incorrect.
Option 2: No; Annie's slope is correct but her y-intercept is incorrect.
Option 3: Yes; Annie's graph is correct.
Since it is stated that Annie's graph is correct, the correct answer is Option 3.