x y 3 7 k 11 12 n The table above shows the coordinates of three points on a line

Question

x y 3 7 k 11 12 n The table above shows the coordinates of three points on a line in the xy -plane, where k and n are constants. If the slope of the line is 2, what is the value of ?

Accepted Answer

The correct answer is 30. The slope of a line can be found by using the slope formula, . It&rsquo;s given that the slope of the line is 2; therefore, . According to the table, the points and lie on the line. Substituting the coordinates of these points into the equation gives . Multiplying both sides of this equation by gives , or . Solving for k gives . According to the table, the points and also lie on the line. Substituting the coordinates of these points into gives . Solving for n gives . Therefore, , or 30.

Question x-y-3-