# Solver to Analyze and Graph a Linear Function

\( \) \( \)\( \)Step by step worksheet solver, to analyze the slope and intercept of a linear function and graph it, is presented. Unlimited number of questions may be generated including their detailed solutions and expalnations. The graph of the linear function is located at the bottom of the page. Step by step solutionSTEP 1: Use the fact that for linear functions written in the form $f(x)=mx+b$, $m$ is the rate of change (or slope) and $b$ is the $y$-intercept to write the rate of change and $y$-intrcept of the given function.
STEP 2: Use the sign of rate of change (or slope) to determine whether the given function is an increasing or a decreasing one.
STEP 3: Use a graph to check that $rise = slope \times run$.
Below are shown the graph of the given function ¤f¤ (green) and the rise ¤\Delta y¤ and the run ¤\Delta x¤ (red). (Change scales if necessary) |