Question

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

Answer 1

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.

Answer 2

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