Question

What is the equation in slope-intercept form of the line that passes through the points ( -4 , 2) and (12, 6)?

Group of answer choices

y = 0.25x − 4.5

y = 4x − 42

y = 4x + 18

y = 0.25x + 3

Answer 1

Explanation:

let the equation be y = mx + b.

m = (6 - 2)/(12 - (-4)) = 1/4

sub (12, 6):

6 = 1/4(12) + b

b = 3

therefore, equation of the line is y = 1/4x + 3, aka option 4

Topic: coordinate geometry

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Answer 2

y = 0.25x + 3

Explanation:

solve for slope:

(6-2)/(12+4) = 1/4

solve for b:

6 = 12(1/4) + b

6 = 3 + b

b = 3

equation can also be y = 1/4x + 3