what is the slope of a line that is parallel to the line $y = \\frac{3}{4}x + 2$?\n$\\bigcirc…

what is the slope of a line that is parallel to the line $y = \\frac{3}{4}x + 2$?\n$\\bigcirc -\\frac{4}{3}$\n$\\bigcirc -\\frac{3}{4}$\n$\\bigcirc \\frac{3}{4}$\n$\\bigcirc \\frac{4}{3}$

what is the slope of a line that is parallel to the line $y = \\frac{3}{4}x + 2$?\n$\\bigcirc -\\frac{4}{3}$\n$\\bigcirc -\\frac{3}{4}$\n$\\bigcirc \\frac{3}{4}$\n$\\bigcirc \\frac{4}{3}$

Answer

Explanation:

Step1: Recall the slope - intercept form

The equation of a line in slope - intercept form is (y = mx + b), where (m) is the slope and (b) is the y - intercept. For the line (y=\frac{3}{4}x + 2), the slope (m_1=\frac{3}{4}).

Step2: Use the property of parallel lines

Parallel lines have the same slope. Let the slope of the parallel line be (m_2). Since (m_1=m_2) (by the property of parallel lines), and (m_1 = \frac{3}{4}), then (m_2=\frac{3}{4}).

Answer:

(\frac{3}{4}) (corresponding to the third option)