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dasetka
Point-slope form is y - y_1 = m (x - x_1) where x_1 and y_1 are the given coordinates and m is the slope. When you plug the given values into the equation you get y - 3 = 6 (x - 8) .

Answer:

[tex]y-3=6(x-8)[/tex]

Step-by-step explanation:

The point - slope equation is:

[tex]y-y_{0}=m(x-x_{0})[/tex]

Where [tex]x_{0}[/tex], and [tex]y_{0}[/tex] is the given point [tex](x_{0}, y_{0})[/tex]

in this case since we have the point [tex](8, 3)[/tex] we found that

[tex]x_{0}=8[/tex]

[tex]y_{0}=3[/tex]

and since [tex]m=6[/tex]

The point - slope equation will be like this:

⇒[tex]y-3=6(x-8)[/tex]

That would be the equation for the line through that point ad with a slope of 6: [tex]y-3=6(x-8)[/tex]

You can simplify the equation and clear for y:

[tex]y=6x-6*8+3[/tex]

[tex]y=6x-48+3[/tex]

[tex]y=6x-45[/tex]

this would be the equation in the slope - intercept form.

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