Question

what is the slope of the line 4x - 8y = 3?

Answer 1

4x-8y=3
8y=4x-3
y=(1/2)x-(3/8)
y=mx+c
m=1/2
slope=1/2=0.5

Answer 2

4x-8y=3 Geometric figure: Straight Line   Slope = 1.000/2.000 = 0.500   x-intercept = 3/4 = 0.75000   y-intercept = 3/-8 = -0.37500

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                     4*x-8*y-(3)=0 

Step by step solution : Step  1  :Equation of a Straight Line

 1.1     Solve   4x-8y-3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  4x-8y-3  = 0 and calculate its properties