Question

How many solutions are there to the equation y = 14x – 9? Explain your answer. A. There are no solutions because no value can be used for the variable x for the equation to remain true. B. There is one solution because only one value can be used for the variable x for the equation to remain true. C. There are 2 solutions because only 2 values can be used for the variables for the equation to remain true. D. There are an infinite number of solutions because any value can be used for the variable x and the equation would remain true.

Answer 1

There are an infinite number of solutions.  Any value can be used
for the variable 'x'.  Each one produces a value for 'y', and together,
they make a true equation.

When this equation is drawn on a graph, the graph is a straight line
with no end in either direction.  EVERY POINT on the line is a solution
to the equation ... a pair of numbers for 'x' and 'y' ... and you know how
many points there are on a line, don't you ?