Use the image to answer the question.

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

Answer 1

2: No; Annie's slope is correct but her y-intercept is incorrect.

Answer 2

wrong

Answer 3

Apologies for the confusion. Based on the description, the downward slanting line passes through the points (0,10) and (1,7). To determine if Annie's graph is correct, we can compare it to the given equation 3x+y=10.

First, let's determine the slope of the line passing through the given points (0,10) and (1,7). The slope, m, can be calculated as:

m = (y2 - y1)/(x2 - x1) = (7 - 10)/(1 - 0) = -3/1 = -3

Now, we need to compare this slope to the equation 3x+y=10. The equation is in the form y = mx + b, where m represents the slope. According to the equation, the slope is 3.

Since the slope calculated from the points is -3 and the slope in the equation is 3, Annie's graph is incorrect. Therefore, the answer is:

Option 1: No; Annie's y-intercept is correct, but her slope is incorrect.