Question

Find the slope of the line described by 8x = 48 + 3y

Answer 1

8x - 48 = 3y
Slope is 8/3

Answer 2

In order to find the slope of a line you can use the linear equation y=mx+b where m is our slope and b is the y intercept.

You were given
8x = 48 + 3y

mx=b+y as your form you need to use algebra to convert it to y=mx+b

8x=48+3y
Flip the equation
3y+48=8x
Subtract 48
3y=8x-48
divide by 3

y=8x/3-48/3

which is of the form y=mx+b

knowing that m is a real number (containing integer, rational and real numbers) we know that 8/3 is the slope of the equation.

Answer 3

8x = 48 + 3y
3y = 8x - 48
->y = 8x/3 - 16
=> Slope m = 8/3