10x+5y=500 What is the slope? Do I have to change it to slope intercept form first? Or is there a way to find slope with keeping that equation

the easiest way is indeed to use the slope-intercept form. It saves having to memorize another formula.

If

ax+by=c, then
by = -ax+c
y = -a/b x + c/b

and you can see that the slope is -a/b

Is the slope for 10x+5y=500

-2?

I changed it to slope intercept and got y=-2x+100

correct

To find the slope of the given equation, you do not necessarily need to convert it to the slope-intercept form. The slope can be determined by examining the coefficients of x and y in the equation.

The given equation is in the standard form: 10x + 5y = 500

To find the slope, we can rearrange the equation into the form y = mx + b, where m represents the slope. However, you can find the slope directly without converting the equation.

The slope is determined by the coefficient of x. In this case, the coefficient of x is 10.

Therefore, the slope of the given equation is 10.