Find the x-intercept of the line whose equation is 10x + 3y = 1.

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

                     10*x-3*y-(1)=0 

 1.1     Solve   10x-3y-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  10x-3y-1  = 0 and calculate its properties

Notice that when x = 0 the value of y is 1/-3 so this line "cuts" the y axis at y=-0.33333

When y = 0 the value of x is 1/10 Our line therefore "cuts" the x axis at x= 0.10000

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -0.333 and for x=2.000, the value of y is 6.333. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.333 - (-0.333) = 6.667 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

step-by-step explanation:

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step-by-step explanation: