Question

what is the slope of a line parallel to y=(1/2)x+3?

Answer 1

Parallel means that they go in the same direction and they don’t intersect and have the same slope. The slope of a line parallel to y=1/2x+3 is 1/2.

Hope it helps and is correct :)

Answer 2

paralell lines have the same slope

in form y=mx+b, m is the slope

given $y=\frac{1}{2}x+3$, we can match and compare with y=mx+b form

$y=\frac{1}{2}x+3$

vs

$y=mx+b$

we can see that $m=\frac{1}{2}$ and $b=3$

this tells us that m, the slope, is equal to $\frac{1}{2}$

since parallell lines have the same slope, the slope of a line paralell to $y=\frac{1}{2}x+3$ is $\frac{1}{2}$

the slope of a line paralell to $y=\frac{1}{2}x+3$ is $\frac{1}{2}$