Question

Write the point-slope form of the line that passes through (6, 1) and is parallel to a line with a slope of -3. Include all of your work in your final answer. Type your answer in the box provided to submit your solution.

Please explain how to do this :)

Answer 1

`(y - 1) = -3(x - 6)`

Explanation:

The equation of a line in point-slope form is

`(y-y_(1)) = m (x-x_(1))`

where y1 and x1 are 2 known points, and m is the slope of the line. So simply just fill in the blanks.

y is a variable so it is left alone (since there is no subscript).

y1 we are told is 1.

m we are told is -3 (the slope)

x is a variable so it is left alone (since there is no subscript).

x1 we are told is 6.