SOLUTION: Write the slope-intercept form of the equation of the line that passes through (3, 8) and (5, 4).

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Question 1010285: Write the slope-intercept form of the equation of the line that passes through (3, 8) and (5, 4).
Answer by MathLover1(20849) About Me  (Show Source):
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Solved by pluggable solver: Find the equation of line going through points
hahaWe are trying to find equation of form y=ax+b, where a is slope, and b is intercept, which passes through points (x1, y1) = (3, 8) and (x2, y2) = (5, 4).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%284-8%29%2F%285-3%29+=+-2.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -2%2A3+%2Bb+=+14. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=8--2%2A3+=+14.

y=(-2)x + (14)

Your graph:





y=-2x+%2B+14