Writing an Equation Through (2, 5) with Slope 3

Algebra 1 · Axiom Academy

EXAMPLE Writing an Equation Through (2, 5) with Slope 3 Build a line from a single point and a slope, then write it in point-slope, slope-intercept, and standard form. A line passes through the point (2, 5) and has slope 3 . Write its equation in point-slope form, then convert it to slope-intercept form and standard form. Nice work. You started from a point and a slope and wrote the same line three ways — each form has its own job. Point-Slope Form: Best for starting when you have a point and a slope. Slope-Intercept Form: Best for graphing and reading off slope & y-intercept. Standard Form: Handy for finding the x- and y-intercepts quickly. One point plus one slope pins down a line completely — every other form is just algebra away.

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