Final answer:
To convert the linear equation 9x + 3y = -3 to slope-intercept form, you need to solve for y to make it y = mx + b. The final slope-intercept form of the equation is y = -3x - 1, with a slope of -3 and a y-intercept of -1.
Step-by-step explanation:
The equation 9x + 3y = -3 can be converted to slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
To do this, solve for y:
- Move the term with x to the other side by subtracting 9x from both sides: 3y = -9x - 3.
- Divide every term by 3 to solve for y: y = -3x - 1.
This is now in slope-intercept form. The slope (m) is -3 and the y-intercept (b) is -1.