Answer: x + 4y = 26 Slope = -0.500/2.000 = -0.250
x-intercept = 26/1 = 26.00000
y-intercept = 26/4 = 13/2 = 6.50000
Step-by-step explanation: x + 4y = 26
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 6.500 and for x=2.000, the value of y is 6.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.000 - 6.500 = -0.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -0.500/2.000 = -0.250
"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 x+4y-26 = 0 and calculate its properties
Notice that when x = 0 the value of y is 13/2 so this line "cuts" the y axis at y= 6.50000
y-intercept = 26/4 = 13/2 = 6.50000
When y = 0 the value of x is 26/1 Our line therefore "cuts" the x axis at x=26.00000
x-intercept = 26/1 = 26.00000
3x – 4y = 30 Slope = 1.500/2.000 = 0.750
x-intercept = 30/3 = 10
y-intercept = 30/-4 = 15/-2 = -7.50000
Notice that when x = 0 the value of y is 15/-2 so this line "cuts" the y axis at y=-7.50000
y-intercept = 30/-4 = 15/-2 = -7.50000
y = 0 the value of x is 10/1 Our line therefore "cuts" the x axis at x=10.00000
x-intercept = 30/3 = 10
Answer:
What is the best window range for the x-values to determine the solution?
x-min=-10, x-max = 15
What is the best window range for the y-values to determine the solution?
y-min= 0, y-max = 5
What is the exact solution to the system of equations?
(14, 3)
