In mathematics, the slope is used to describe the steepness and direction of straight lines.
Then knowing the slope and one point in the line , you can write the equation of this line.
If m is the slope of the line
The equation of this line is Y = mX + d
d indicates the intersection point of the line with the y-axis, where X=0 (0,d)
To draw a line in the coordinate system (x,y), we have to calculate two points and then draw a line that passes through those two points. The first point is the intersection of the line with the vertical y-axis. We already know that it is (0,d) and another point can be the intersection of the line with the horizontal x-axis. To find it we have to substitute in the equation making Y = 0.
First equation : Y = 2/3X + b where b is any value where the line will cut to the y-axis
intersection point of this line with the vertical y-axis => (0,b)
intersection point of this line with the horizontal x-axis, making Y=0
2X/3 + b = 0
X = -3b/2
intersection point of the line with the horizontal x-axis => (-3b/2,0)
Second equation : Y = -4X + c where c is any value where this line will cut to the y-axis
intersection point of the line with the vertical y-axis => (0,c)
intersection point of this line with the horizontal x-axis, making Y=0
-4X + c = 0
X = -c/-4 = c/4
intersection point of the line with the horizontal x-axis => (c/4,0)
