A system of linear equations has infinitely many solutions. What is known about the slopes and y-intercepts of the graphed equations? Explain your reasoning.

The answer is below

Step-by-step explanation:

The graph of a linear function can be represented as:

y = mx + b;

where y and x are variables, m is the slope of the graph and b is the y intercept.

A system of linear equations has infinitely many solutions, when the lines overlap at every point. In other words, they're the same exact line, having the same equation when simplified.

This means that they have the same slope and y intercepts

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c