Question

What is the equation of the line: * parallel to the line y = -¼x + 5 and * passing through the point (2, -1) y = -¼x + 4 y = ¼x + 2 y = ¼x - 1 y = -¼x - 1/2

Answer 1

Answer:

y=-1/4x-1/2

Step-by-step explanation:

When two lines are parallel, they have the same slope.

So for this line, we already know that the slope (m) has to equal -1/4x.

Slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

in order to find the equation, we must plug in x and y to solve for b, the y intercept (the value of y when x=0).

Now, let's plug in 2 for x and -1 for y and solve for b:

-1=-1/4(2)+b=-1=-1/2+b=-1+1/2=b

b=-1/2

Hence, the answer is y=-1/4x-1/2