Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Get accurate and detailed answers to your questions from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

A line passes through the points (0, 2) and (2, 10). What is its equation in slope-intercept form?

Sagot :

mhanifa

Answer:

  • y = 4x + 2

Step-by-step explanation:

The slope-intercept form:

  • y = mx + b, where m is the slope, b is the y-intercept

Find the slope using given points:

  • m = (10 - 2)/(2 - 0) = 8 / 2 = 4

The y-intercept is given with point (0, 2):

  • b = 2

The line is:

  • y = 4x + 2
  • (0,2)
  • (2,10)

[tex]\\ \sf{:}\Rrightarrow m=\dfrac{10-2}{2-0}=\dfrac{8}{2}=4[/tex]

Put in slope intercept form

[tex]\\ \sf{:}\Rrightarrow y=mx+b[/tex]

[tex]\\ \sf{:}\Rrightarrow 2=4(0)+b[/tex]

[tex]\\ \sf{:}\Rrightarrow 2=b[/tex]

Equation of the line

[tex]\\ \sf{:}\Rrightarrow y=4x+2[/tex]

Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope this was helpful. Please come back whenever you need more information or answers to your queries. We're here to help at Westonci.ca. Keep visiting for the best answers to your questions.