Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Fill in the blanks to form an equation that passes through the point (3, 2) and creates a system of equations with the line below that has no solutions.

Fill In The Blanks To Form An Equation That Passes Through The Point 3 2 And Creates A System Of Equations With The Line Below That Has No Solutions class=

Sagot :

The linear function that passes through the point (3, 2) and creates a system of equations with the line below that has no solutions is given by:

[tex]y = -2x + 7[/tex]

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem, it creates a system without solutions with the equation:

[tex]10x + 5y = 15[/tex]

[tex]5y = 15 - 10x[/tex]

[tex]y = -2x + 3[/tex]

That is, it has the same slope of m = -2, then:

[tex]y = -2x + b[/tex]

Since it passes through the point (3,2), we have that:

[tex]3 = -2 \times 2 + b[/tex]

[tex]b = 7[/tex]

Hence, the equation is:

[tex]y = -2x + 7[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.