Question

Choose the equation below that represents the line passing through the point (-2, -3) with a slope of -6.

y = -6x - 15
y = -6x - 20
y = -6x + 15
y = -6x + 20

Answer 1

all the lines have slope \(-6\) so you have to find the \(y\) intercept to see if it is -15, -20, 15, or 20

Answer 2

if you have \(y=-6x+b\) and since \((-2,-3)\) is on the graph you know that if \(x=-2\) then \(y=-3\) so you can put
\[-3=-6\times (-2)+b\] and solve for \(b\)

Answer 3

let me know what you get

Answer 4

i got C ?

Answer 5

18

Answer 6

yeah i made a typo there, i dont mean to be a pain so lets just solve it

Answer 7

ok

Answer 8

\[-3=-6\times (-2)+b\] solve for \(b\)
\[-3=12+b\] subtract 12 from both sides and get
\[-15=b\]

Answer 9

so the line is \(y=-6x-15\)

Answer 10

ohhhhhhhh..... so A

Answer 11

yah first time i have seen A all week
usually C

Answer 12

i dont quite get these yet.. i have 4 more.. would u mind?

Answer 13

sure what is the next one?

Answer 14

Choose the equation of the line passing through the point (6, -2) and parallel to y = x + 7.

y = x + 8
y = x - 4
y = x + 4
y = x - 8

Answer 15

ok very similar to the last one
all your choices have the same slope, namely \(1\) so you only need to find the \(y\) intercept
in this case if \(x=6\) you have \(y=-2\) so you can solve
\[-2=6+b\] in one easy step
subtract \(6\) from both sides

Answer 16

what do you get this time?

Answer 17

if you are confused let me know

Answer 18

so it would be D then?

Answer 19

yes

Answer 20

cool! only 3 more!

Answer 21

next...

Answer 22

Choose the equation of the line passing through the point (-2, 6) and parallel to y = 1/2x - 8.

y = 1/2x + 7
y = 1/2x + 5
y = 2x + 7
y = 2x + 5

Answer 23

ok parallel means has the same slope
the slope of \(y=\frac{1}{2}x-8\) is evidently \(\frac{1}{2}\) so you can ignore the last two answers because they have slope 2

Answer 24

gotcha

Answer 25

again put \(x=-2,y=6\) and solve
\[6=\frac{1}{2}\times (-2)+b\] for \(b\)
can you do this or do you need help?

Answer 26

ill try but what do i do for the first step to get me started?

Answer 27

be careful with the signs

Answer 28

first step is to multiply \(\frac{1}{2}\times (-2)\)

Answer 29

so i got C as my final answer

Answer 30

we already ruled out C and D right?

Answer 31

opps meant A

Answer 32

\[6=\frac{1}{2}\times (-2)+b\]
\[6=-1+b\]
\[7=b\] right!

Answer 33

Choose the equation of the line passing through the point (-1, 3) and perpendicular to y = -1/3x + 7.

y = 3x - 12
y = 3x + 6
y = 3x - 6
y = 3x

Answer 34

and cool!

Answer 35

kk so once again all the slopes are the same

Answer 36

so guess what? you have to solve
\[3=3(-1)+b\] for \(b\)
you getting the hang of this?

Answer 37

let me know what you get for \(b\) again be careful with the signs

Answer 38

so this one would be B!

Answer 39

you got it !

Answer 40

cool only one more!

Answer 41

Choose the equation of the line passing through the point (-3, -1) and perpendicular to y = 1/2x + 3.

y = -2x - 7
y = -2x +5
y = 2x + 5
y = 2x - 7

Answer 42

k
i will look, this time start and see if you can figure out what you have to solve

Answer 43

actually before we start, i hope it is clear that the slope of \(y=\frac{1}{2}+3\) is \(\frac{1}{2}\)
do you know what the slope of the perpendicular line is?

Answer 44

oops i meant \(y=\frac{1}{2}x+3\) has slope \(\frac{1}{2}\)

Answer 45

ok

Answer 46

do you know what the slope of the perpendicular line would be? you have two choices in your answers, \(2\) or \(-2\)

Answer 47

2?

Answer 48

no actually it is \(-2\) the "negative reciprocal" i .e. flip it and change the sign

Answer 49

ohhh ok

Answer 50

so that rules out C and D

Answer 51

yes

Answer 52

i think that it is B

Answer 53

lets see
point is (-3, -1), slope is \(-2\) so you must solve
\[-1=-2\times (-3)+b\] giving
\[-1=-6+b\] so
\[b=5\] and the equation is \(y=-2x+5\) is that the one you picked?

Answer 54

lol no... thats ok though! thank you! can i ask you one more? haha

Answer 55

yea, but you did pick B right?

Answer 56

Choose the equation below that represents the line passing through the point (-5, 1) with a slope of 3/2 .

y - 5 =3/2 (x + 1)
y + 1 =3/2 (x - 5)
y + 5 = -3/2(x - 1)
y - 1 = 3/2(x + 5)
and yes i picked B

Answer 57

y = -2x - 7
y = -2x +5
y = 2x + 5
y = 2x - 7

B is correct

Answer 58

wait do u mean -2 or 2?

Answer 59

so is the answer 2x - 7 or -2x-7

Answer 60

the correct answer was \(y=-2x+5\)

Answer 61

ok!

Answer 62

oooh nooooo

Answer 63

let me do it correctly

Answer 64

i made a mistake, sorry

Answer 65

its fine

Answer 66

\[-1=-2\times (-3)+b\]
\[-1=6+b\]
\[-7=b\]
\[y=-2x-7\] is the correct answer

Answer 67

now to your last problem

Answer 68

ok :)

Answer 69

slope is \(m=\frac{3}{2}\) and the point is \((-5,1)\)

Answer 70

the "point-slope" formula is
\[y-y_1=m(x-x_1)\]replace \(m\) by \(\frac{3}{2}\) , replace \(x_1\) by \(-5\) and replace \(y_1\) by \(1\)

Answer 71

y - 1 = 3/2 ( x + 5) ?

Answer 72

make a direct substitution with the numbers for the variables and get
\[y-1=\frac{3}{2}(x-(-5))\] or
\[y-1=\frac{3}{2}(x+5)\] yes, you got it!

Answer 73

not too bad was it?

Answer 74

nope! thank you so much!!!!!