Question

The equation of a straight line is 2x = 2y – 3. Find its:
i. Slope
ii. Inclination
iii. Y-intercept

Answer 1

Answer:

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

2*x-2*y-(3)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve 2x-2y-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 2x-2y-3 = 0 and calculate its properties