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Finding the Equation of a Line Through and
To find the equation of a line containing the points and , apply the four-step two-points procedure and write the result in slope-intercept form.
Step 1 — Find the slope using the given points. Apply the slope formula with and :
Step 2 — Choose one point. Use , so and .
Step 3 — Substitute into the point-slope form :
Distribute on the right side:
Step 4 — Write in slope-intercept form by adding 4 to both sides:
The equation of the line is . Using the other point in Step 2 produces the same final equation, confirming that either point may be chosen.
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Finding the Equation of a Line Through and
Finding the Equation of a Line Through and
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