Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Get quick and reliable solutions to your questions from a community of experienced professionals on our platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

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.

Sagot :

Answer:

  • Slope: [tex]\frac{10.000}{2.000} = -5.000[/tex]
  • x - intercept: [tex]\frac{10}{5} = 2[/tex].
  • y intercept: [tex]\frac{10}{1} = 10.00000[/tex].

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:

  • Pull out like factors:
  • 10x + 2y - 20 = 2 * (5x + y - 10)

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
  • Calculate the x-intercept:
  • 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

Answers:

  •  Slope = -10.000/2.000 = -5.000
  •  x-intercept = 10/5 = 2
  •  y-intercept = 10/1 = 10.00000
View image Аноним
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.