Question

Choose the slope-intercept equation of the line that passes through the point shown and is perpendicular to the line shown.

Answer 1

y = 2/5x + 1

y = -5/2x - 23/2

y = -2/5x - 3

y = 5/2x + 23/2

Answer 2

@SolomonZelman

Answer 3

@ehuman @amistre64 @charlotte123 @Loser66

Answer 4

Lol what happened to all the posts!!!

Answer 5

I deleted, b/c I misread the q.

Answer 6

find the slope of a perpendicular line.
plug in the slope that you get and the point shown for b, into y=mx+b

Answer 7

so far i have y = -5x + -1?

Answer 8

for the first line?

Answer 9

I got that from the graph.

Answer 10

I'll walk you through this, ready?

Answer 11

Yea.

Answer 12

I am going to be posting short replies for you to have time to process the work.

Pick any two point on your line, lets say (1,4) and (0,2)

Answer 13

ok.

Answer 14

Slope formula is \[\frac{y_1-y_2}{x_1-x_2}\]
plug in your two points into the slope formula, \[slope=\frac{4-2}{1-0}-->\frac{2}{1}-->2\]

Answer 15

so what other point do it have in this that...

Answer 16

-5, -1 is the first one right?

Answer 17

Hold on, are you following so far?

Answer 18

yes take to points.. and put them in that formula form right?

Answer 19

2*

Answer 20

The y intercept of the line or the "b" is the point on the line that lays on the 0-x-axis.
in your case you don't even have to plug in 0 for x to find it, because it is graphed.
You can clearly see that this point is (0,2) so the y intercept is 2.

Answer 21

Knowing that slope is 2 and y intercept is 2, you have (for this, the first line)
y=2x+2

Answer 22

so 2 - -1 and 2 - -5?

Answer 23

To find a slope of a perpendicular line you have to take the slope of the (initial/first) line
take the multiplicative inverse divide by '-1'
for slope s, perpendicular slope is -1/s.

Answer 24

so you know that it will be
y=-1/2x+b, find the y intercept by plugging in your point (-5,-1)

Answer 25

so y = -.5x + b?

Answer 26

plug in your point (-5,-1) to find b.

Answer 27

so: -1 = .5 x -5 + b?

Answer 28

BUT to find out B it would be:
B = .5/5 - -1?

Answer 29

b = 11?

Answer 30

so .5 x -5 + 11 = y?

Answer 31

so y = 13.5?

Answer 32

makes sense, right?