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Finding the Equation of a Straight Line

Algebra and Graphs Finding the Equation of a Straight Line

🎬 Video Tutorial

(0:01) Understanding the Linear Equation: For $y = mx + c$, $m$ represents the slope and $c$ is the y-intercept, where the line crosses the y-axis.
(0:17) Calculating the Slope $m$ from Two Points: Use the formula $m = \large \frac{{y_2 – y_1}}{{x_2 – x_1}}$ to find the slope between two points.
(1:40) Finding the Y-Intercept $c$: Rearrange $y = mx + c$ as $c = y – mx$ and substitute known values of $m$, $x$ ,and $y$ to determine $c$.
(2:04) Verifying Points on a Line: Substitute the coordinates into $y = mx + c$. If both sides equal, the point lies on the line.

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📂 Revision Cards

Finding linear equation y = mx + c using two points, and steps to calculate gradient (m) and y-intercept (c) with points (2,3) and (4,7) on a graph.

Verifying if points (3, 5) and (-2, -4) lie on the line y = 2x - 1 by substituting coordinates into the equation illustrating right and wrong results.

ChatCat (AI Math Tutor)

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