find the slope and the y intercept

8-1/5y=10x

-y/5=10x-8
y/5=-10x+8
y=-50x+40
slope=-50 & y intercept=40

am I right? thanks

mucho correct.

thank you

Yes, you are right. The slope of the equation is -50 and the y-intercept is 40.

To find the slope and y-intercept, you can use the slope-intercept form of a linear equation, which is y = mx + b. In this form, m represents the slope of the line and b represents the y-intercept.

To obtain the slope and y-intercept from the given equation, you need to rearrange it into the slope-intercept form. Let's go through the steps:

1. Start with the original equation: 8 - 1/5y = 10x.
2. Get rid of the fraction by multiplying both sides of the equation by 5: 5(8 - 1/5y) = 5(10x).
This simplifies to: 40 - y/5 = 50x.
3. Next, subtract 40 from both sides to isolate the term with y: -y/5 = 50x - 40.
4. Multiply both sides of the equation by -5 to eliminate the fraction: (-5)(-y/5) = (-5)(50x - 40).
This gives us: y = -50x + 40.

Now that we have the equation in slope-intercept form, we can identify the slope and y-intercept. The coefficient of x (-50) is the slope, and the constant term (40) is the y-intercept.

Therefore, the slope is -50 and the y-intercept is 40.