Find the Equation of a parallel line

Question

Find the equation of a line that is parallel to the line y=10 and passes through the point (-9,2). really need help with step by step solving

Answer 1

Well, the quickest way to come up with the answer is to recognize this as a special case of the equation of a horizontal line, which is always of the form y = k, for some constant k. The slope is 0, so there is no x term. Our new line is parallel to the first line, so by definition of parallel it has the same slope: 0. And since the new line goes through the point (-9,2), the equation of the line must be y = 2.

Another way to do the problem is to graph it.

And of course we can use the point-slope or slope-intercept equation of a line to solve the problem.