Subjects algebra

Straight Line 35B02C

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1. The problem is to find the equation of a straight line graph given certain conditions. 2. The general formula for a straight line is $$y = mx + c$$ where $m$ is the slope and $c$ is the y-intercept. 3. Important rules: - The slope $m$ represents the steepness of the line. - The y-intercept $c$ is the point where the line crosses the y-axis. 4. Example question: Find the equation of a line passing through points $(1,2)$ and $(3,6)$. 5. Calculate the slope $m$ using the formula $$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 2}{3 - 1} = \frac{4}{2} = 2$$. 6. Use point-slope form to find $c$: $$y = mx + c \Rightarrow 2 = 2(1) + c \Rightarrow c = 2 - 2 = 0$$. 7. Therefore, the equation of the line is $$y = 2x$$. This is a typical straight line graph problem involving finding the equation from two points.