Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Get immediate and reliable answers to your questions from a community of experienced experts on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

2. Write the equation of the line that passes through point (8, -2) and parallel to line y =-1/4x-2

Sagot :

hbj

Answer:

y = -1/4x

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = -1/4x - 2. Its slope is -1/4. A line parallel to this one will also have a slope of -1/4.

Plug this value (-1/4) into your standard point-slope equation of y = mx + b.

y = -1/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (8, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = -1/4(8) + b

To find b, multiply the slope and the input of x (8)

-2 = -2 + b

Now, add 2 to both sides to isolate b.

0 = b

Plug this into your standard equation.

y = -1/4x

This equation is parallel to your given equation (y = -1/4x - 2) and contains point (8, -2)

Hope this helps!

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.