In order to find the slope, we must first convert the general function into standard linear form, which is y=mx+b. In order to do this, subtract 8y from both sides to get 6x-8y=10. Then, subtract 6x from both sides to get -8y=-6x+10. Now we must get y by itself, so we divide both sides by -8 to get y=3/4x-1.25.
Now, from the standard linear form, we can derive that the slope is 3/4.
Well you must first get your equation set up into the form called "Slope intercept." </span>6x=8y+10 Add 8y on both of your sides because your y is suppose to be alone. 8y + 6x = 10 Subtract 6x on both sides since it is in fact the opposite of addition. 8y = 6x + 10 Now, you will divide by 8 on both sides. When doing this your y will be alone. y= 6/8x + 10/8 Note: You can leave it like this but you want to probably simplify. y = 3/4x + 5/2 or y = 3/4x + 2 1/5
