Question

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

Explanation:

Step1: Rewrite equation in slope-intercept form

The given equation is $x + y = 3$. Rearrange to $y = -x + 3$.

Step2: Identify original slope

From $y = -x + 3$, the slope $m_1 = -1$.

Step3: Calculate perpendicular slope

Perpendicular slope $m_2$ satisfies $m_1 \cdot m_2 = -1$. So $-1 \cdot m_2 = -1 \implies m_2 = 1$.

Answer:

1