Question

using the equations from problem 1 and 2, determine if the lines are parallel, perp
line 1: m = -3, passes through (-4, 10)
line 2: contains (1,2) and (4, -7)
lines 1 and 2 are

Explanation:

Step1: Calculate slope of Line 2

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. For points $(1,2)$ and $(4,-7)$ on Line 2, we have $m_2=\frac{-7 - 2}{4 - 1}=\frac{-9}{3}=-3$.

Step2: Compare slopes

Line 1 has slope $m_1=-3$ and Line 2 has slope $m_2 = - 3$. Since $m_1=m_2$, the lines are parallel.

Answer:

parallel