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3 years ago

What is the slope of a line perpendicular to the line whose equation is x + y = 3 x+y=3. Fully simplify your answer.

Mathematics

1 answer:

polet [3.4K]3 years ago

6 0

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

x + y = 3 ( subtract x from both sides )

y = - x + 3 ← in slope- intercept form

with slope m = - 1

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular}m

perpendicular

= - \frac{1}{m}

= - \frac{1}{-1}

−1

= 1

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