Question

plot and connect the points a (6, -7), b (1, -7), c (1, -4), d (3, -2), e (7, -2), f (7, -4), and find the length of \\( \overline{ab} \\).
a. 7 units
b. 6 units
c. 5 units
d. 8 units

Explanation:

Step1: Identify the coordinates of points A and B

Point \( A(6,-7) \), point \( B(1,-7) \).

Step2: Use the distance formula for points with the same y - coordinate

Since \( y_A=y_B = - 7\), the distance \( d=\vert x_A - x_B\vert\).
Substitute \( x_A = 6\) and \( x_B = 1\) into the formula: \(d=\vert6 - 1\vert\).

Step3: Calculate the absolute value

\(\vert6 - 1\vert=\vert5\vert = 5\).

Answer:

C. 5 units