Question

the graph shows the cost, y, in dollars for a given number of pounds of yuca, x, that matias buys from the supermarket. what do the triangles tell you about the slope? complete each statement. the triangles are congruent. the ratios of the corresponding side lengths are the same. the slope of each part of the line is the same. which quotient shows how to use △abe to find the slope of the line? be/ae ae/be be/ab ab/ae

Explanation:

Step1: Recall the slope formula

The slope \(m\) of a line is given by \(m=\frac{\text{rise}}{\text{run}}\). In the context of a right - triangle formed with the line (like \(\triangle ABE\)), if \(BE\) represents the vertical change (rise) and \(AE\) represents the horizontal change (run).

Step2: Apply the slope formula to \(\triangle ABE\)

The formula for slope using the sides of \(\triangle ABE\) is \(m = \frac{BE}{AE}\) since slope \(=\frac{\text{vertical change}}{\text{horizontal change}}\)

Answer:

\(\frac{BE}{AE}\)