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# Coordinates

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The equation of the line passing through (1,11) and (-4,5) can be expressed in the form x/a + y/b = 1. Find a.

Aug 27, 2021

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The equation of the line passing through P2 (1,11) and P1(-4,5) can be expressed in the form x/a + y/b = 1. Find a.

Hello Guest!

Point-direction equation

$$\color{blue}y=m(x-x_1)+y_1\\ m=\dfrac{y_2-y_1}{x_2-x_1}$$

$$y=\frac{11-5}{1+4}(x+4)+5\\ y=\frac{6}{5}(x+4)+5\\ y=1.2x+4.8+5\\ 1.2x-y=-9.8\ |\ :(-9.8)\\ -\dfrac{0.6x}{4.9}+\dfrac{y}{9.8}=1$$

$$\dfrac{x}{-8.1\overline 6}+\dfrac{y}{9.8}=1\\ \\ a=-8.1\overline 6$$

!

Aug 27, 2021
edited by asinus  Aug 27, 2021
edited by asinus  Aug 28, 2021