ALGEBRA QUESTION

Question

Find the equation for the line that passes through the point (1,1)(1,1), and that is parallel to the line with the equation −34x−y=−4−34x−y=−4

Answer 1

Solve for "y" in the equation of the line the is parallel to your line. That will give you the equation of the line in "y = mx + b" format. Then the "m" is the slope. A line parallel to that will have the same slope.

Then use the point-slope form of a line which is y - y₁ = m(x - x₁). In this form, "m" is the slope, and a point on the line is (x₁, y₁) so x₁ = 1 and y₁ = 1 in your case. Plug those in as well as the slope you got and you are done.