help? http://prntscr.com/9ydhor http://prntscr.com/9ydhry
@dumbcow
for 2nd one, just plug in each point and check if right side equals left side
my answer is C
for 1st one, find slope first (4-1)/(3-2) = 3/1 then pick point to use as (x1,y1)
my answer to the first one is D and for the second C
@dumbcow
@UsukiDoll
\[y-y_1=m(x-x_1)\]is called point-slope form, and means a line with slope \(m\) passes through the point \((x_1,y_1)\) if you have an equation of that form, it should be straightforward to pick which equation matches
so would it be d?
which problem are you talking about?
my mistake were you talking about the other one?
calculate the slope of the line going through the points (2,1) and (3,4)
the slope is 1/3
show me your work
my mistake wrong answer
the slope is 3
right. now which answer do you choose?
would it be c?
why do you choose Can?
thanks autocorrect...why do you choose C?
im really not sure because a and b also have a slope of 3 and they're all in the same form
there is no reason to guess here, you have all of the information to reliably choose the correct answer. you know two points on this line (\((2,1)\) and \((3,4)\)) and that the slope is \(3\) the point-slope formula is \[y-y_1=m(x-x_1)\] if \(m=3\) and the convention for writing points is \((x,y)\), which of those equations matches one you can make with your data?
let's try \((3,4)\) what would the formula for the line going through that point with slope \(3\) be?
\[x_1=3\]\[y_1=4\]\[y-y_1=m(x-x_1)\]\[y-4=3(x-3)\] do you see that on your list of answer choices?
the last one but its slope is 1/3
well, that isn"t the slope of the line, is it? that is an answer put in deliberately to trap the unwary. try the other point.
x1=1 y1=2 y-y1=m(x-x1) y-2=3(x-1)
opps i meant to put 2 as x1 and 1 as y1
so it would be y-1=3(x-2)
ok, that's better.
so the answer would be A
appears so
as for the second question i believe the answer is A
check it by plugging the other point into the equation: do you get a true statement?
(referring to your answer for the first one)
actually, that advice applies to your answer for the second one as well
do you still think a is the correct answer for the second problem?
D was determined true
oh? \[y-2=2(x+6)\]\[6-2=2(-2+6)\]\[4=2(4)\]\[4=8\]do you usually find that to be true?
y-2=2(x6) 2-2=2(-6+6) 0=2(0) 0=2
x+6*
come on... \[y-2=2(x+6)\] \[y-y_1=m(x-x_1)\] what values must \(x_1, y_1\) have to make those equations match, if \(m=2\)?
\[y-2=y-y_1\]solve for \(y_1\) \[x-x_1=x+6\]solve for \(x_1\) answer is \((x_1,y_1\))
(-2,6)
(6,-2)*
sorry, still not right! if (6,-2) is the answer, then\[[y-2=2(x+6)\]\[-2-2=2(6+6)\]\[-4=24\]
so if A,C, and D are incorrect that leaves us with B
figure out the answer, you clearly need the practice with your algebra!
Join our real-time social learning platform and learn together with your friends!