MINI LESSON
Identifying Solutions
A point is a solution to an equation if its coordinates make the equation true.
To test a point, substitute the \(x\)-value and \(y\)-value into the equation.
If both sides are equal after substitution, the point is a solution.
You can also test whether a point lies on the graph of a function by substituting its \(x\)-value.
Question 1
Which ordered pair is a solution to the equation \(y - 1 = 2\left(x + \frac{1}{4}\right)\)?
Question 2
Which point lies on the graph of \(y = 3x^2 - \frac{1}{4}x + 3\)?