Find the slope if it exits 2x-5y=6

2x - 5y = 6, 5y = 2x - 6, divide by 5 on both sides

y = (2/5) x - (6/5),

sample equation is y = mx + c, here m is slope,

so for equation y = (2/5) x - (6/5),

m = 2/5 = slope.

In standard form, slope is always the negative of the x coefficient over the y coefficient.

If you dont want to have that memorized, you can use algebra to get the equation of the line into slope-intercept form (y=mx+b)

Set it equal to y

2x - 5y = 6

2x = 5y + 6

2x - 6 = 5y

(2/5) x - 6/5 = y

Now it is in slope intercept form. In slope intercept form, the coefficient multiplying with x is the slope of the line. Therefore, the slope equals 2/5.