Find the x- and y-intercepts of the graph of 10x+2y=20 State each answer as an integer or an improper fraction in simplest form.

1 answer:

5 0

Answer:

Step-by-step explanation:

Simplify:

Simplify the equation by subtracting what is to the right of the equal sign from both sides of the equation:
10*x+2*y-(20)=0.

Step 1:

Step 2:

Equations which are never true:
Solve:
2 = 0
This can't be solved.
A non-zero constant never equals 0.
Equation of a straight line:
Solve: 5x+y-10 = 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 5x+y-10 = 0 and calculate its properties
Calculate the y-intercept:
Notice that when x = 0 the value of y is 10/1 so this line "cuts" the y axis at y=10.00000
y-intercept = 10/1 = 10.00000

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 10.000 and for x=2.000, the value of y is -0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.000 - 10.000 = -10.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -10.000/2.000 = -5.000

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