Graph linear and quadratic functions and show key features such as intercepts, maxima, and minima.
Graph a line from slope-intercept form
Problem
Graph \(y~=~2x~+~3\) on the grid. State the slope and \(y\)-intercept, verify a second point, and describe the line's behavior.
Plot the y-intercept and use slope 2 to reach another point.Open full size
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What this problem is really about
Slope-intercept form gives a graphing plan directly: the constant locates the vertical intercept, and the coefficient gives rise over run. We’ll plot the intercept, use the signed slope to generate a second point, and verify both points in the equation before drawing the line. The slope’s sign also predicts whether the completed line rises or falls from left to right.
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