What is the equation of a line that is parallel to -x+3y=6 and passes through the point (3,5)?

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for a

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

By definition, if two lines are parallel then their slopes are equal.

We have the following line:

Thus, the slope is:

Then

So, the line is of the form:

We substitute the pointand find b:

Thus, the equation is:

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation: