77.6k views
2 votes
A line that passes through the point (5,2) and is parallel to y=x

User Rachael
by
8.1k points

1 Answer

4 votes

Answer:

y = x - 3

Explanation:

Parallel lines have equal slopes.

The line y = x is written in the y = mx + b form, where m = 1, so the slope of the line y = x is 1. The slope of the parallel line is also 1.

The line you want has the form

y = mx + b

The slope is 1, so m = 1, and you get

y = 1x + b

y = x + b

We need to find the value of b.

Replace x and y in the equation with the x- and y-coordinates of the given point, respectively, and solve for b.

y = x + b

2 = 5 + b

b = -3

Now that we know b is -3, we replace b with -3

y = x - 3

User Roman Trokhymets
by
7.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories