Geometric figure: Straight Line Slope = 6.667/2.000 = 3.333 x-intercept = 1/10 = 0.10000 y-intercept = 1/-3 = -0.33333Rearrange: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 Step by step solution :Skip Ad
Step 1 :Equation of a Straight Line 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 propertiesGraph of a Straight Line : Calculate the Y-Intercept :Notice that when x = 0 the value of y is 1/-3 so this line "cuts" the y axis at y=-0.33333 y-intercept = 1/-3 = -0.33333 Calculate the X-Intercept :When y = 0 the value of x is 1/10 Our line therefore "cuts" the x axis at x= 0.10000 x-intercept = 1/10 = 0.10000 Calculate the Slope :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) Slope = 6.667/2.000 = 3.333 Geometric figure: Straight Line Slope = 6.667/2.000 = 3.333 x-intercept = 1/10 = 0.10000 y-intercept = 1/-3 = -0.33333