After solving the equation for y: 10x - 11y = 242 to get slope-intercept form, you could then see that the slope is negative and the graph would be decreasing.

Question

Responses

True; you would be subtracting 10x, which gives you negative 10 as the slope
True; you would be subtracting 10x, which gives you negative 10 as the slope

False; you would be subtracting and then dividing by a negative to get a positive slope

Answer 1

To convert the equation \(10x - 11y = 242\) into slope-intercept form (\(y = mx + b\)), we need to solve for \(y\).

1. Start with the equation: \[ 10x - 11y = 242 \]

2. Subtract \(10x\) from both sides: \[ -11y = -10x + 242 \]

3. Now, divide every term by \(-11\) to isolate \(y\): \[ y = \frac{10}{11}x - \frac{242}{11} \]

From this form, we can see that the slope \(m\) is \(\frac{10}{11}\), which is positive.

Thus, the correct statement regarding the slope and graph is:

False; you would be subtracting and then dividing by a negative to get a positive slope.