Answer: m = 2
Explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
2*y-(4*x-2)=0
STEP 1
Pulling out like terms
1.1 Pull out like factors :
2y - 4x + 2 = 2 • (y - 2x + 1)
Equation at the end of step
STEP 2
Equations which are never true:
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Equation of a Straight Line
2.2 Solve y-2x+1 = 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 y-2x+1 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is -1/1 so this line "cuts" the y axis at y=-1.00000
y-intercept = -1/1 = -1.00000
Calculate the X-Intercept :
When y = 0 the value of x is 1/2 Our line therefore "cuts" the x axis at x= 0.50000
x-intercept = 1/2 = 0.50000