Graph linear and quadratic functions and identify intercepts, maxima, and minima.
Find the x-intercept and y-intercept of a linear equation in standard form
Problem
Find \(\text{both}~\text{intercepts}\) of \(2x+3y=12\). Set \(y=0\) to solve the \(x\text{-}\text{intercept}\) and \(x=0\) to solve the \(y\text{-}\text{intercept}\), state \(\text{both}~\text{ordered}~\text{pairs}\), and verify each in the original equation.
Big Picture
What this problem is really about
Each axis crossing comes with its own zero-coordinate condition. We’ll set the output coordinate to zero for the horizontal-axis crossing, set the input coordinate to zero for the vertical-axis crossing, and verify both ordered pairs in the original equation.
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