Question

Write an equation point-slope form of the line that passes through the point (7,-5) with slope -1/7

Answer 1

We will replace values in the following expression:

$y-y_1=m(x-x_1)$

That is:

$y-(-5)=-\frac{1}{7}(x-7)$

Now, we solve for y:

$\Rightarrow y+5=-\frac{1}{7}x+1\Rightarrow y=-\frac{1}{7}x-4$

So, the equation is:

$y=-\frac{1}{7}x-4$

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When we are given a point (x1, y1) and the slope = m1

To find the equation