A line has slope and passes through the point (4,2).The point on the line that has its second coordinate equal to -5 is

Question

A line has slope  and passes through the point (4,2).The point on the line that has its second coordinate equal to -5 is

Quizplus · Accepted Answer

Using point-slope form, the equation of the line is : y - 2 = 11ea83f6_62d5_2230_b5a5_dbfdd2a23532_TB6578_11_TB6578_11(x - 4)
Solving for y = -5, we get:
-5 - 2 = 11ea83f6_62d5_2230_b5a5_dbfdd2a23532_TB6578_11_TB6578_11(x - 4)
x = 11ea83f6_62d5_4943_b5a5_038b42e5520e_TB6578_11_TB6578_11
Therefore, the point on the line with second coordinate -5 is (11ea83f6_62d5_4943_b5a5_038b42e5520e_TB6578_11_TB6578_11, -5). Choice C matches this value.

A Line Has Slope and Passes Through the Point