Question

which line is perpendicular to line y=3/8x+5
y=3/8x-5 or y=-8/3x+4
y=-3/8x+5 or y=8/3+5 multiple choice, hellllppp

Answer 1

what's the slope of -> y=3/8x+5 ?

Answer 2

\(\bf y={\color{red}{ \cfrac{3}{8}}}+5\\
\qquad \uparrow \\ \quad {\color{red}{ slope}}\)

Answer 3

wooops, darn I missed the "x" anyhow \(\bf y={\color{red}{ \cfrac{3}{8}}}x+5\\
\qquad \uparrow \\ \quad {\color{red}{ slope}}\)

Answer 4

so a line that is perpendicular to that equation's line will have a NEGATIVE RECIPROCAL slope
that means -> \(\bf \cfrac{3}{8}\qquad reciprocal\implies \cfrac{8}{3}\qquad negative\implies -\cfrac{8}{3}\)

so what equation do you think has that slope ?

Answer 5

are you supposed to graph the perpendicular line?

Answer 6

then pick the one whose slope is -8/3 :)