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)=-(1)/(7)(x-7)`

Now, we solve for y:

`\Rightarrow y+5=-(1)/(7)x+1\Rightarrow y=-(1)/(7)x-4`

So, the equation is:

`y=-(1)/(7)x-4`

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

To find the equation