Parallel line

Question

y= -1/2x+4 through points (-3,5)

Answer 1

Let's assume the problem is to write the equation of a line parallel to y = -1/2 x + 4 that passes through the point (-3,5).

 

The given line has a slope of -1/2. Since parallel lines have equal slopes, the new line will also have a slope of -1/2.

Now, you have a point and a slope, so use the Point-Slope Form for the equation of a line.

 

y - y₁ = m(x - x₁₎

y - 5 = -1/2(x + 3)

y - 5 = -1/2 x - 3/2

y = -1/2 x + 3 1/2