Question

warm-up

line m has a slope of 6 and a y-intercept of 3. which of these lines is parallel to line m?

select the correct answer.

• a line with a slope of -6 and a y-intercept of 3
• a line with a slope of -\frac{1}{6} and a y-intercept of 3
• a line with a slope of 6 and a y-intercept of -3
• a line with a slope of \frac{1}{6} and a y-intercept of -3

Explanation:

Identify the slope of the given line

$$ m_{\text{given}} = 6 $$

Apply the parallel line slope condition

$$ m_{\text{parallel}} = m_{\text{given}} = 6 $$

Select the matching option

$$ \text{Slope} = 6, \quad y\text{-intercept} = -3 $$

Answer:

• a line with a slope of -6 and a y-intercept of 3
• a line with a slope of -\(\frac{1}{6}\) and a y-intercept of 3
• a line with a slope of 6 and a y-intercept of -3 (Correct answer)
• a line with a slope of \(\frac{1}{6}\) and a y-intercept of -3