Write an equation of the line that passed through the given point and is parallel to the graph of the given equation. (3,2); y=3x-2

Answer 1

Passes through the point (3,2), parallel to y = 3x - 2

The slope (m) of y = 3x - 2 is 3, as it is the coefficient in front of 3

To graph a function parallel to another, the slopes must be the same. Therefore, the slope of the function we are trying to find is 3.

We can use the form y = m(x - h) + k, which is point intercept form, where the point our graph intercepts is (h, k).

Since the point we are intercepting is (3, 2), we can plug that into the formula for h and k, as well as the slope of 3 for m.

Therefore, our equation is y = 3(x - 3) + 2