143k views
22 votes
What is an equation of the the line that passes through the point (-1,4) and is parallel to the line x+y=4

This is so important!! Ive tried everything

2 Answers

0 votes

Answer:

y = -x + 3

Explanation:

the equation is parallel to the line

y + x = 4

y = 4 - x

parallel means the same slope. So our new equation has a slope of -1

Now, the equation of a line is given by y = mx + b where m is the slope.

y = -x + b

now we plug in the points given in the question to find b.

4 = 1 + b

b = 3

so the final answer is y = -x +3

make sure to comment if you need any further guidance.

User Ngatia Frankline
by
8.1k points
4 votes
Parallel lines have same slope. Write the given equation in y = mx + b form
x + y = 4
y = -x + 4
m = -1

Equation of the required line:
y= -1x + b
Now plug-in (-1,4) in the above equation
4 = -1 * (-1) + b
4 = 1 + b
4 -1 = b
b = 3
Equation:
y = -x + 3
User Risalat Zaman
by
8.3k 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