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40 votes
Help needed , I don’t understand

Help needed , I don’t understand-example-1
User Kalpesh Panchasara
by
2.9k points

1 Answer

19 votes
19 votes

Hello!

This problem is about relating parallel and perpendicular lines with a given point.

What we need to know here is that parallel lines will have equal slopes, while perpendicular lines will have opposite and reciprocal slopes.

Using this information, let's look at the first part.

We are asked to find a parallel line to the line
image that passes through the point
image.

Since we know that parallel lines have the same slope and we are given a point, we can solve for the y-intercept after setting up and equation.


image


image


image

So the line would be
image.

Let's look at the second part, where we are asked to find a perpendicular line that passes through the same point.

We know that perpendicular lines have an opposite reciprocal of a slope, and using that information, we can go through the same process and solve for the equation.


image


image


image

So the line would be
image.

Hope this helps!

User Taniesha
by
2.7k points