Question

What is the slope of a line that is parallel to the line y = (3/4)x+2

Answer 1

Given:

`y=(3)/(4)x+2`

Comparing the equation of the line to slope-intercept form;

`\begin{gathered} y=mx+b \\ y=(3)/(4)x+2 \\ \\ slope,m=(3)/(4) \\ y-intercept,b=2 \end{gathered}`

When two lines are parallel, they have equal slopes.

`m_1=m_2`

Hence, the slope of the line parallel to y = (3/4)x + 2 is;

`m_2=(3)/(4)`