Question

Find the slope of a line parallel to 5x + 2y = 6.

A. two fifths

B. negative two fifths

C. negative five halves

D. five halves

Answer 1

parallel lines have same slope

in form Ax+By=c the -a/b is slope

Answer 2

this is in standard form:
\(\large ax + by = c\)

you need to put it into slope-intercept form
\(\large y = mx + b\)

\(\large \color{red}{5x - 5x + 2y = 6 - 5x}\)
\(\large \color{green}{2y = 6 - 5x}\)
\(\large \color{green}{ y = 3 - \frac{5}{2}x}\) \(\rightarrow\) \(\large \color{green}{y = -\frac{5}{2}x + 3}\)

parallel lines have the same slope so look for the \(\large m\) in this equation