Answer:
Slope = 2.500/2.000 = 1.250
x-intercept = 16/-5 = -3.20000
y-intercept = 16/4 = 4
Step-by-step explanation:
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
-5x + 4y - 16 = -1 • (5x - 4y + 16)
Equation at the end of step 1 :
Step 2 :
Equation of a Straight Line
2.1 Solve -5x+4y-16 = 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 -5x+4y-16 = 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 = 16/4 = 4
Calculate the X-Intercept :
When y = 0 the value of x is 16/-5 Our line therefore "cuts" the x axis at x=-3.20000
x-intercept = 16/-5 = -3.20000
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 6.500. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.500 - 4.000 = 2.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 2.500/2.000 = 1.250
Geometric figure: Straight Line
Slope = 2.500/2.000 = 1.250
x-intercept = 16/-5 = -3.20000
y-intercept = 16/4 = 4
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