Find Cartesian Equation of Line: (x,y)=(4,-6) + t(8,2)

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To find the Cartesian equation of the line given by (x,y)=(4,-6) + t(8,2), the parameter t can be eliminated to derive the equation. The slope of the line is 1/4, derived from the direction vector (8,2). By using the point (4,-6) and the slope, the Cartesian equation can be formulated as y + 6 = (1/4)(x - 4). The discussion also notes that this type of question might be more appropriate for a help section. Understanding the relationship between the parameterized form and the Cartesian equation is key to solving such problems.
thomasrules
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Find the Cartesian equation of each of the following lines.

(x,y)=(4,-6) + t(8,2)

Not sure how to do it, I know that you need the normal which is (-2,8)

I've tried a lot of times and I don't get it
 
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You just have to eliminate the parameter t or you can just use the information you can immediately derive from this equation (i.e. its slope and a point it goes through) to set-up the cartesian equation.

Shouldn't this be posted in the help section?
 
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