SOLUTION: Write the equation of the line f(3)=6 and f(-8)=10.

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Question 1058763: Write the equation of the line f(3)=6 and f(-8)=10.
Answer by solve_for_x(190) About Me  (Show Source):
You can put this solution on YOUR website!
Knowing that f(3) = 6 and f(-8) = 10 gives you two points on the line:

(3, 6), (-8, 10)

The slope between these two points is:

m+=+%2810+-+6%29+%2F+%28-8+-+3%29+=+-4%2F11

The equation of the line, in slope-intercept form, is y = mx + b.

Substituting -4/11 in place of m, and using the point (3, 6) gives:

6 = (-4/11)(3) + b

b = 6 + (4/11)(3)

b = 78/11

The equation is then:

y+=+%28-4%2F11%29x+%2B+78%2F11