Is this the correct graph of 3x−y=10?

(1 point)
Responses

No, it is not the correct graph because the slope is −3 and the y-intercept is (0, −10).
No, it is not the correct graph because the slope is negative 3 and the y -intercept is left parenthesis 0 comma negative 10 right parenthesis .

No, it is not the correct graph because the slope is 3 and the y-intercept is (0, −10).
No, it is not the correct graph because the slope is 3 and the y -intercept is left parenthesis 0 comma negative 10 right parenthesis .

Yes, it is the correct graph because the slope is 3 and the y-intercept is (0, −10).
Yes, it is the correct graph because the slope is 3 and the y -intercept is left parenthesis 0 comma negative 10 right parenthesis .

Yes, it is the correct graph because the slope is −3 and the y-intercept is (0, −10).
Yes, it is the correct graph because the slope is negative 3 and the y -intercept is left parenthesis 0 comma negative 10 right parenthesis .

No, it is not the correct graph because the slope is 3 and the y-intercept is (0, −10).

No, it is not the correct graph because the slope is -3 and the y-intercept is (0, -10).

No, it is not the correct graph because the slope is 3 and the y-intercept is (0, -10).

To determine the correct graph of the equation 3x - y = 10, we need to rearrange the equation in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.

First, let's isolate y by subtracting 3x from both sides of the equation:
3x - y = 10
-y = -3x + 10
Next, we can solve for y by multiplying both sides of the equation by -1:
y = 3x - 10

Now we can identify the slope and y-intercept. The coefficient of x (which is 3) represents the slope, and the constant term (which is -10) represents the y-intercept.

Therefore, the correct graph of the equation 3x - y = 10 has a slope of 3 and a y-intercept of (0, -10). So the answer is "No, it is not the correct graph because the slope is 3 and the y-intercept is (0, -10)."