Question

Which values of m and b will create a system of equations with no solution? Select two options.

Answer 1

Using linear function concepts, a system of equations with no solutions is created when:

$m = -2, b \neq \frac{3}{2}$

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

The intersection of two lines is the solution of a system of equations. If two lines have the same slope and different intercepts, they will never intercept, that is, the system will not have a solution.

The lines are given as follows:

• y = mx + b.

• y = -2x + 3/2.

Hence, for a system with no solution, we need that:

$m = -2, b \neq \frac{3}{2}$

More can be learned about linear function concepts at brainly.com/question/24808124

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