Question

part b
the slope of side ec is \\( \frac { 4 } { 3 } \\).
complete the equation to show that the slope of the hypotenuse of triangle abc is equivalent to the slope of side ec.
enter a number into each box to complete the equation.
\\( \frac { 4 } { 3 } = \frac { a c } { \square } = \frac { \square - 5 } { \square - 5 } \\)

Explanation:

Step1: Find the coordinates of point A

Assume point A is \((5,16)\) (since the line continues and following the grid pattern).

Step2: Calculate the slope formula for \(AC\)

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). For points \(A(5,16)\) and \(C(5,5)\), the slope of \(AC\) (using the same concept as slope of a line segment between two points) is \(\frac{16 - 5}{14 - 5}\) (assuming the other - end \(x\) coordinate of the line segment related to \(AC\) is \(14\) as per the graph's x - axis extension).

Answer:

\(\frac{4}{3}=\frac{AC}{9}=\frac{16 - 5}{14 - 5}\)