Find the y-intercept of
-x - 9y= 9
so this is what i did:
-9y = +x +9
i divided both sides by -9
y=(-(1)/(9)x-1
now from here i don't know what to do?
y=-1/9 x -1
Yintercept is when x=0
so this is what i get:
y=(-(1)/(9)x-1
y= (1(1)/(9)(0)-1
y= -1
so the y intercept is -1
good
Great! You have successfully found the y-intercept of the equation -x - 9y = 9.
To find the y-intercept, you need to set the value of x to 0 in the equation. Doing this allows you to isolate the y-variable and find its value when x is 0 since the y-intercept is the point at which the graph intersects the y-axis.
Let's go through the steps again:
1. Start with the equation: -x - 9y = 9.
2. Rearrange the equation to isolate the y-variable. You correctly divided both sides by -9, which gives you -9y = x + 9.
3. Simplify the equation further by dividing both sides by -9. This gives you y = -1/9x - 1.
4. Now you have the equation in the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. In this case, the slope is -1/9, and the y-intercept is -1.
To verify the result, substitute x = 0 into the equation:
y = -1/9(0) - 1
y = -1
Therefore, the y-intercept of the equation -x - 9y = 9 is -1.
Well done!