Question

]Choose the equation of the line passing through the point (3, -2) and parallel to y = 3x - 6.

y = 3x + 7

y = 3x - 11

y = -3x + 11

y = -3x - 12

Answer 1

since it's parallel, you can eliminate two of those choices.
and of those two, plug in the point (3, -2) and see which one works...

Answer 2

how do you do that ?

Answer 3

first, do you know which two to eliminate from consideration?

Answer 4

no..

Answer 5

ok...
in \(\large y=mx+b \), m is the slope of the line, and b is the y-intercept.

in order for lines to be parallel, they must have the SAME slope..

Answer 6

what is the slope of the line?

Answer 7

hmmmm.... idk i'm all new to this. i'm sorry...

Answer 8

your line is written in what's called slope-intercept form:
\(\huge y=mx+b \)
the number in front of the "x" is the slope of the line. that's what "m" is.

Answer 9

this is your equation: y = 3x - 6
can you tell me what the slope is here?

Answer 10

m=3, b=-6 where m is the slope
slope
The steepness of a line expressed as a ratio, using any two points on the line. and b is the y-intercept
y-intercept
The value of y at the point where a curve crosses the y-axis.

Answer 11

ok... so the slope is 3,
which of those choices have a slope of 3?

Answer 12

all of them ?..

Answer 13

be careful... there are only two with the SAME slope.

Answer 14

i'm not really sure.

Answer 15

what's the slope of the THIRD and LAST choice?

Answer 16

11 and 12 ?

Answer 17

@dpaInc

Answer 18

i was asking what is the SLOPE of the line in the third and last choices...

Answer 19

i'm still talking about the number in front of the "x", the slope....

Answer 20

3 and -3 ?

Answer 21

@dpaInc

Answer 22

ok... the third and fourth choices have a slope of -3. it is these two that you can eliminate from consideration because the slope you have is 3.

so only consider the first two choices because they both have a slope of 3.

Answer 23

now, with the first two choices, plug in the point (3, -2) into each equation and see which one gives a true statement.

Answer 24

plug in (3, -2) into each equation you get:

for the first choice:
y = 3x + 7
-2 = 3(3) + 7
continue to simplify...

for the second choice:
y = 3x - 11
-2 = 3(3) - 11
continue to simplify...

which one gives a true statement in the end?

Answer 25

i got it now! thank you so much for your time and help!!!!

Answer 26

no problem...:)
glad u stuck with it....
which one gave a correct statement?