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
To determine if Annie created her graph correctly for the equation 3x + y = 10, we need to compare it with the standard form of a linear equation, which is y = mx + b.
In the given equation, we have 3x + y = 10. To put it in the standard form, we need to isolate y on one side of the equation.
Step 1: Subtract 3x from both sides of the equation:
3x + y - 3x = 10 - 3x
y = -3x + 10
Now we can compare the equation with the standard form y = mx + b.
The slope-intercept form of the equation y = -3x + 10 shows that the slope is -3 and the y-intercept is 10.
Comparing it with Annie's equation, we can see that her slope (coefficient of x, which is 3) is incorrect but her y-intercept (constant term of 10) is correct.
Therefore, the correct answer is Option 1: No; Annie's y-intercept is correct, but her slope is incorrect.