Slope = 44.000/2.000 = 22.000 x-intercept = 4/-22 = 2/-11 = -0.18182 y-intercept = 4/1 = 4.00000Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : y-(22*x+4)=0 Step by step solution : Step 1 : Equation of a Straight Line 1.1 Solve y-22x-4 = 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 goesx tells us how far alongm is the Slope or Gradient i.e. how steep the line isb 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 y-22x-4 = 0 and calculate its properties Graph of a Straight Line : Calculate the Y-Intercept : Notice that when x = 0 the value of y is 4/1 so this line "cuts" the y axis at y= 4.00000 y-intercept = 4/1 = 4.00000 Calculate the X-Intercept : When y = 0 the value of x is 2/-11 Our line therefore "cuts" the x axis at x=-0.18182 x-intercept = 4/-22 = 2/-11 = -0.18182 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 4.000 and for x=2.000, the value of y is 48.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 48.000 - 4.000 = 44.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN) Slope = 44.000/2.000 = 22.000 Geometric figure: Straight Line Slope = 44.000/2.000 = 22.000 x-intercept = 4/-22 = 2/-11 = -0.18182 y-intercept = 4/1 = 4.00000
