Equation at the end of step 1 :
5x - 3y - 7 = 0
Step 2 :
Solve 5x-3y-7 = 0
Equation of a Straight Line
2.1 Solve 5x-3y-7 = 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 5x-3y-7 = 0 and calculate its properties
Graph of a Straight Line :download.png
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 7/-3 so this line "cuts" the y axis at y=-2.33333
y-intercept = 7/-3 = -2.33333
Calculate the X-Intercept :
When y = 0 the value of x is 7/5 Our line therefore "cuts" the x axis at x= 1.40000
x-intercept = 7/5 = 1.40000
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