SOLUTION: What is the equation of the following using line in slope-intercept form. Two points on the line: (4, -2) and (-2, 4).

Algebra ->  Linear-equations -> SOLUTION: What is the equation of the following using line in slope-intercept form. Two points on the line: (4, -2) and (-2, 4).       Log On


   

Question 763286: What is the equation of the following using line in slope-intercept form.
Two points on the line: (4, -2) and (-2, 4).
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

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) = (4, -2) and (x2, y2) = (-2, 4).
Slope a is a+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29+=+%284--2%29%2F%28-2-4%29+=+-1.
Intercept is found from equation a%2Ax%5B1%5D%2Bb+=+y%5B1%5D, or -1%2A4+%2Bb+=+2. From that,
intercept b is b=y%5B1%5D-a%2Ax%5B1%5D, or b=-2--1%2A4+=+2.

y=(-1)x + (2)

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