Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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]

We appreciate your time. Please come back anytime for the latest information and answers to your questions. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.