Write the Equation in Slope-Intercept Form: What are the Slope and Y-Intercept for 9x + 10y = 9?

To convert the equation 9x + 10y = 9 into slope-intercept form, we need to solve for y.

Start by isolating the term with y:

10y = -9x + 9

Next, divide every term by 10 to solve for y:

y = -\frac{9}{10}x + \frac{9}{10}

This is now in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

From the equation, we can see that:

• Slope (m): -\frac{9}{10}
• Y-Intercept (b): \frac{9}{10}

In summary, the slope of the line is -\frac{9}{10}, which means the line decreases as x increases. The y-intercept is \frac{9}{10}, indicating the point where the line crosses the y-axis.