Question 181552
The definition of slope is slope = rise/run. Another definition
is slope = (change in vertical distance) / (change in horizontal distance)
The slope is given by the problem as {{{-6/100}}}
The problem also gives you (change in vertical distance) which is
{{{500}}} ft
The formula for slope is
{{{m = (y[2] - y[1]) / (x[2] - x[1])}}}
This formula is used when 2 points are given and the slope is unknown
I can use this formula because
{{{m = -6/100}}} is given, and
{{{y[2] - y[1] 500}}} is given, and
{{{x[2] - x[1]}}} is the unknown
{{{m = (y[2] - y[1]) / (x[2] - x[1])}}}
{{{-6/100 = 500 / (x[2] - x[1])}}}
Multiply both sides by {{{(x[2] - x[1])}}}
{{{(-6/100)*(x[2] - x[1]) = 500}}}
Multiply both sides by {{{100/-6}}}
{{{(x[2] - x[1]) = (100/-6)*500}}}
{{{(x[2] - x[1]) = -833}}} answer