Does the graph represent a function, why or why not ?

D. Yes, because it passes the vertical line test.

Step-by-step explanation:

First let's see what a horizontal line test and vertical line test.

Horizontal Line Test: A test use to determine if a function is one-to-one. If a horizontal line intersects a function's graph more than once, then the function is not one-to-one.

Vertical line test:  The function y = f(x) is a function if it passes the vertical line test. if we draw a vertical line it cuts the graph only one point on the graph, then it is a function or else it is not a function.

Here we want to find the given graph represents the function or not.

We have to use the vertical line test.

If we draw a vertical line, the line cuts only one point, the line not passing through more than one point.

Therefore, the given graph represents a function.

D. Yes, because it passes the vertical line test.

Thank you.

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17