Question

Select the correct answer from each drop-down menu.

A coordinate grid is placed on top of a city map, showing the following characteristics:
• Washington Avenue is represented by the line x = 3.
.
Lincoln Avenue passes through the point (5,2).
Lincoln Avenue and Washington Avenue are parallel.
line
Lincoln Avenue is represented by the line

Answer 1

Lincoln Avenue is represented by the line
`x = 5`, which is a VERTICAL LINE.

Explanation:

The equation of the line of Washington Avenue, x = 3, suggests that the line is a vertical line, since a vertical line takes the form of x = k, where k is the value x would always take and also it is the x-intercept.

Given that Lincoln Avenue passes through the point (5, 2), and its line is parallel to that of Washington Avenue, it means that the line do not intercept each other, and Lincoln Avenue is also a vertical line.

Therefore, if Lincoln Avenue passes through (5, 2), its line can be represented also in the form, x = k. Where, k is the value that x would always take, and also, it is the x-intercept. x would always be 5 even when y changes.

Therefore, the equation of the line that represents Lincoln Avenue would be:

✅
`x = 5`

✅This is also a Vertical line.