SOLUTION: Find the equation of the line that is equidistant from the points (-6,4) and (0,8). Write the equation in slope-intercept form. Please help me!!!

Question 66874This question is from textbook Advanced mathematics
: Find the equation of the line that is equidistant from the points (-6,4) and (0,8). Write the equation in slope-intercept form.
Please help me!!! This question is from textbook Advanced mathematics

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The line you want will be perpendicular to the line
through the points (-6,4) and (0,8), so you know that
if y=mx + b is the equation of the line through
(-6,4) and (0,8), then the slope of the perpendicular is
-1/m. If it's midway between the points, you need to sind that
midpoint.
First find the slope you want.
point-slope formula

check this. Does this line go through (-6,4) and (0,8)?

OK
The perpendicular line will have slope
Now find midpoint between (-6,4) and (0,8)

midpoint is (-3,6)

answer
Does it go through (-3,6)?

OK
RELATED QUESTIONS
Find the equation of the line that is equidistant from the points (-4,-3) and (4,6).... (answered by cassiroberts)

find the equation of the line that is equidistant from the points (-4, -3) and (4,6).... (answered by Gogonati)

Find the equation of the line that is equidistant from the points (5,2) and (0,4). Write... (answered by josgarithmetic)

Find the equation of the line that is equidistant from points (3,-2) and (-3,4). Write... (answered by Fombitz)

Find the equation of the line that is equidistant from the points (-3, -6) and (4, 7)... (answered by josgarithmetic)

find the equation of the line that is equidistant from the points (1,4) and (-3,2).... (answered by venugopalramana)

Find the equation of the line that is equidistant from the points (-3,-2) and (2,3).... (answered by stanbon)

Write the equation of the line in slope intercept form that passes through (-6,-8) and... (answered by rfer)

Find the equation in slope-intercept form, of the line that passes through the points (3, (answered by checkley75)