3p-4q=13
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
p-intercept = 13/3 = 4.33333
q-intercept = 13/-4 = -3.25000
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*p-4*q-(13)=0
Step by step solution :
Step 1 :
Equation of a Straight Line
1.1 Solve 3p-4q-13 = 0
"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 3p-4q-13 = 0 and calculate its properties
Calculate the Y-Intercept :
Notice that when p = 0 the value of q is 13/-4 so this line "cuts" the q axis at q=-3.25000
q-intercept = 13/-4 = -3.25000
Calculate the X-Intercept :
When q = 0 the value of p is 13/3 Our line therefore "cuts" the p axis at p= 4.33333
p-intercept = 13/3 = 4.33333
Calculate the Slope :
Slope is defined as the change in q divided by the change in p. We note that for p=0, the value of q is -3.250 and for p=2.000, the value of q is -1.750. So, for a change of 2.000 in p (The change in p is sometimes referred to as "RUN") we get a change of -1.750 - (-3.250) = 1.500 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.500/2.000 = 0.750
Geometric figure: Straight Line
Slope = 1.500/2.000 = 0.750
p-intercept = 13/3 = 4.33333
q-intercept = 13/-4 = -3.25000