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Finding the Equation of a Straight Line

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  • (0:01) Understanding the Linear Equation Formula: The equation of a straight line is $y = mx + c$, $m$ represents the slope and $c$ is the y-intercept, where the line crosses the y-axis.
  • (0:17) How to Calculate the Slope $m$ from Two Points: Use the formula $m = \large \frac{{y_2 – y_1}}{{x_2 – x_1}}$ to find the slope.
  • (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 Whether a Point Lies on the Line: Substitute the coordinates of the point into the equation of the line $y = mx + c$. If both sides are equal, this point lies on the line. If not, this point does not lie on the line.

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Finding the Equation of a Straight Line

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Q: What does the y-intercept (c) represent in the equation $y = mx + c$?

 

2 / 6

Q: What is the formula for calculating the slope (m) of a line?

 

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Q: Given the equation $y = 2x - 1$, does the point (-2, -4) lie on the line?

 

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Q: Given the points (2, 3) and (4, 7), what is the slope (m) of the line?

 

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Q: Given the points (2, 3) and (4, 7), what is the slope (m) of the line?

 

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Q: What is the equation of the line that passes through the points (1, 2) and (3, 8)?

 

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