Answer:
Hi Rosie!
To find the y-intercept and slope of the line represented by the equation -8x + 9y = 36, we can convert the equation into slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
First, we can isolate the y term on one side of the equation:
9y = 36 + 8x
Dividing both sides by 9:
y = 4 + (8/9)x
So the slope of the line is m = 8/9 and the y-intercept is b = 4.
To verify, we can plug in x = 0 and y = 4 into the original equation:
-8 * 0 + 9 * 4 = 36, which is true.
Therefore, the y-intercept of the line is 4 and the slope is 8/9.