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

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

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step-by-step explanation: