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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]

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