Question

which graph represents the line passing though(4,1) and perpendicular to -2x+y=-3

Answer 1

IMPORTANT LINE RELATED EQUATIONS TO KNOW AND MEMORIZE

slope formula
m= slope/ gradiant -- same thing
\[m=\frac{y_2-y_1}{x_2-x_1}\]

standard formula
\[Ax+By=C\]

point-slope formula
\[y-y_1=m(x-x_1)\]

slope-intercept formula
b= y-intercept -- in the form of (0,y)

\[y=mx+b\]

Answer 2

also important information you should memorize

parallel lines share the same slope
perpendicular lines slopes are negative reciprocals of each other

ex.

\[\frac{ 4}{3} \rightarrow -\frac{3}{4}\]

Answer 3

@completeidiot can you help me more bc i could find which one is right

Answer 4

what is the slope of this equation
-2x+y=-3
?

Answer 5

2/1... idk honestly

Answer 6

yes that is the slope

Answer 7

now what is the slope perpendicular to that slope?

Answer 8

wait how am i suppost to figure that out

Answer 9

look at the 2nd post

Answer 10

ok i did

Answer 11

is that the answer?

Answer 12

no

Answer 13

its just an example showing you what negative reciprocal means

Answer 14

ok so what do i need to do to figure the question out

Answer 15

you need to determine the equation of the perpendicular line

Answer 16

in order to do that, you must determine the perpendicular slope

Answer 17

then substitute the slope and the point in to point slope form, convert that into slope intercept form

and then determine which graph fits your line equation

Answer 18

wait so how do you figure out the slope on a graph can you give an example

Answer 19

if the slope is 3, then the perpendicular slope is -1/3

Answer 20

can you pls juist give me the answer i just really dont understand this