What is the equation in point-slope form of the line that passes through the point (−8, 5) and has a slope of 2?



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Respuesta :

In our given values above, we are looking for the equation of the line that passes through points (-8, 5) and whose slope is 2. Well, all we need to do is just to simply plug in the values, m = 2, a = -8 and b = 5.So y – 5 = 2(x – 8) is the point slope form.

we know that

The equation of the line in point-slope form is equal to

[tex]y-y1=m(x-x1)[/tex]

In this problem we have

[tex](x1,y1)=(-8,5)[/tex]

[tex]m=2[/tex]

Substitute the values

[tex]y-5=2(x-(-8))[/tex]

[tex]y-5=2(x+8)[/tex]

therefore

the answer is

The equation in point-slope form is equal to

[tex]y-5=2(x+8)[/tex]