Final answer:
To convert 9x-4y=-8 to slope-intercept form, isolate y to get y = (9/4)x + 2, where 9/4 is the slope and 2 is the y-intercept.
Step-by-step explanation:
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
To convert the given equation 9x-4y=-8 into slope-intercept form, we need to solve for y to get y by itself on one side of the equation. Here's how we do it:
- Subtract 9x from both sides: -4y = -9x - 8.
- Divide every term by -4 to get y by itself: y = (9/4)x + 2.
The equation is now in slope-intercept form.
The slope (m) is 9/4, and the y-intercept (b) is 2.
It is important to remember that the coefficient of x represents the slope, and the constant term represents the y-intercept in the equation of a straight line.