Question

#7: the points (-7,8) and (-7,-5) represent the location of two cities on a coordinate grid, where one unit on the grid is equal to 5 miles. what is the distance between the cities? miles your answer this is a required question

Explanation:

Step1: Calculate the difference in y - coordinates

The two points are \((-7,8)\) and \((-7,-5)\). Since the x - coordinates are the same (\(x=-7\) for both), we use the formula for the distance between two points with the same x - value: \(d = |y_2 - y_1|\). Here, \(y_1 = 8\) and \(y_2=-5\), so \(|y_2 - y_1|=|-5 - 8|=| - 13| = 13\).

Step2: Convert the unit - distance to miles

Given that one unit on the grid is equal to 5 miles. If the distance in units is \(d_{units}=13\), then the distance in miles \(d_{miles}=d_{units}\times5\). So \(d_{miles}=13\times5 = 65\).

Answer:

65