The equation y = 3/4X + 1 represents a given line.. Write the equation for the line that passes through (-4, 9) and is parallel to the given line

Question

The equation y =

3/4X + 1 represents a given line.. Write the equation for the line that passes through (-4, 9) and is

parallel to the given line

Answer 1

For a line to be parallel to another line, the slopes must be the same; so the slope of the parallel line will also be 3/4.

Once we know the slope of the line, we can use the point slope form of a line [ y-y₁=m(x-x₁) ] to figure out the equation of the parallel line. Substirtuting 3/4 for m, -4 for x₁, and 9 for y₁, we get y-9=(3/4)*(x+4) or putting it in slope intercept form y= (3/4)*x+12.