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The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = y minus 4 equals StartFraction one-fourth EndFraction left-parenthesis x minus 9 right-parenthesis.(x – 8). What is the slope-intercept form of the equation for this line?

y = y equals StartFraction one-fourth EndFraction x minus 12.x – 12
y = y equals StartFraction one-fourth EndFraction x minus 4.x – 4
y = y equals StartFraction one-fourth EndFraction x plus 2.x + 2
y = y equals StartFraction one-fourth EndFraction x plus 6.x + 6

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beckybrowns

Answer:

(just took the test)

Answers for entire quiz on EDGE for "Writing Linear Equations":

C. y = 1/4x+2

A. y=12x+8

C. y=x+2

B. c(x) = 6x + 3

A. k – 2 = 1/9(t – 18)

A. y=-5/8x+6

C. 5

A. y = x + 3

C. 2x + 5y = –15

B. y + 13 = 5(x + 2)

hope this helps y'all!

The correct option is (3) [tex]y = \frac{1}{4} x + 2[/tex]

What is slope ?

  • slope, Numerical measure of a line's inclination relative to the horizontal.
  • In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it (“slope equals rise over run”).

The equation of a line that passes through points (8, 4) and (0, 2) is .

The equation of the line in Slope-Intercept form is:

                     y = mx + b            ( m - slope)

The equation of the line slope intercept is-

               [tex]y - 4 = \frac{1}{4} ( x -8)\\y - 4 = \frac{1}{4} x - \frac{8}{4} \\y - 4 = \frac{1}{4} x - 2\\y = \frac{1}{4} - 2 + 4\\y = \frac{1}{4} x + 2\\[/tex]...................(1)

Now compare equation 1 from y = mx + b

   So,        m = 1/4       &  b = 2

Therefore, The correct option is (3) [tex]y = \frac{1}{4} x + 2[/tex] .

Learn more about slope brainly.com/question/12109165

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