Question

Please help im failing geo lol..write the equation described in each case.

a line parallel to y= -1/4x - 11 through (4,-5)
slope of the new line:
equation:

Answer 1

The Answer is: y = -1/4x - 4

Explanation:

Given point: (4, -5)

Given equation: y = -1/4x - 11

Slope: m = -1/4

Parallel lines have the same slope.

Start with the point slope form of the equation and solve for y:

y - y1 = m(x - x1)

y - (-5) = -1/4(x - 4)

y + 5 = -1/4x + 1

y = -1/4x - 4

Proof:

f(x) = -1/4x - 4

f(4) = -1/4(4) - 4

= -1 - 4 = -5, giving (4, -5)

Hope this helps!! Have an Awesome day!!! :-)