SOLUTION: Find the equation of the line that is equidistant from the points (5,2) and (0,4). Write the equation in slope-intercept form.

Algebra ->  Graphs -> SOLUTION: Find the equation of the line that is equidistant from the points (5,2) and (0,4). Write the equation in slope-intercept form.       Log On


   

Question 962936: Find the equation of the line that is equidistant from the points (5,2) and (0,4). Write the equation in slope-intercept form.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Slope wanted will be negative reciprocal of %284-2%29%2F%280-5%29=-2%2F5, or 5%2F2.

Midpoint of the two given points is (5/2, 6/2) or equal to (5/2, 3). Use point-slope equation form or slope-intercept form. Slope-intercept form might be more efficient.

y=mx%2Bb
b=y-mx
-
y=%285%2F2%29x%2B3-%285%2F2%29%2A%285%2F2%29
y=%285%2F2%29x%2B3-25%2F4
y=%285%2F2%29x%2B12%2F4-25%2F4
highlight%28y=%285%2F2%29x-13%2F4%29