Question

canavs hw- 6.1 and 6.2 mini quiz review
1 multiple choice 1 point
y = 1/2x + 8 and y = 1/2x -8
are these lines...
a. parallel b. intersecting c. same line (infinitely many)
a
b
c
clear my selection

Explanation:

Step1: Identify slope-intercept form

The lines are in $y=mx+b$ form, where $m$ = slope, $b$ = y-intercept.

Step2: Compare slopes of both lines

For $y=\frac{1}{2}x+8$, slope $m_1=\frac{1}{2}$.
For $y=\frac{1}{2}x-8$, slope $m_2=\frac{1}{2}$.
$m_1 = m_2$, so slopes are equal.

Step3: Compare y-intercepts

For $y=\frac{1}{2}x+8$, $b_1=8$.
For $y=\frac{1}{2}x-8$, $b_2=-8$.
$b_1
eq b_2$, so intercepts differ.

Step4: Classify the lines

Equal slopes + different intercepts mean parallel lines.

Answer:

A. Parallel