1.Find the slope of the linear line between the points (-4, 5) and (6, 1). 2.Find the slope of the linear line between the points (10, -4) and (4, -4).
\[\large\rm \frac{ y_2 -y_1 }{ x_2-x_1 }\] formula to find slope between two points \[\rm (x_1,y_1)(x_2,y_2)\]
\[\rm \large \rm (\color{Red}{x_1},\color{blue}{y_1})(\color{red}{x_2},\color{blue}{y_2} )\]\[\rm \large \rm (\color{Red}{-4},\color{blue}{5})(\color{red}{6},\color{blue}{1} )\] plugin x's and y's values into the formula then simplify
x=-10 and y=4??? help me :( @Nnesha
`1.Find the slope of the linear line between the points (-4, 5) and (6, 1).` first question
(x,y) ordered pair where first number represent x-coordinate and 2nd one y-coordinate so (-4,5) where x=-4 and y=5
so x=-4 - x=6 y=5 - y=1
yes correct so now plug that into the formula (x_1,y_1)(x_2,y_2) x_1 means first x y_2 means 2nd y
but remember y values should be at the numerator
x=-4 - x=6 y=5 - y=1 equals x=2?? y=4??
hmm if x=-4 and x=6 then what would be -4-6 = ?
\[\large\rm \frac{ y_2 -y_1 }{ x_2-x_1 }\] this is the formula plugin x =-4 and x=6 \[\large\rm \frac{ y_2 -y_1 }{ 6-(-4) }\] same with y values
-4-6=-10 6-(-4)=10
yes correct so so what would be the final answer ?\[\frac{ 1-5 }{ 6-(-4) } =\frac{-4}{10}\] you will get the same answer doens't matter if you write y_1 first or y_2
now just reduce the fraction
-4/10=-0.4
slope = rise over run so keep that in fraction form divide top and bottom of the fraction by 2
-4/10=2/5 am I correct?
ye but it should be negative bec negative divide by positive = negative
sorry I had to fix it and I guess I may have deleted the negative sign so the answer is -2/5
correct.
thank you can you tell me if im correct on #2?
sure try it first show ur work i'll check :=))
x=10,4 y=-4,-4
ye those are x and y values not plug that into the formula
now**
10-4=6 -4(-4)=16 6/16=3/8 am I correct the answer is 3/8???
remember the formula is in other words \[\rm \frac{ change~ in~y's }{ change ~ in~x's }\]
subtract y values in the numerator and subtract x's values in the denomiantor so we should subtract them not multiply
-4(-4)=16 10-4=6 16/6=8/3???
don't do it serrate use the formula again we are not multiplying y values we should subtract them
\[\large\rm \frac{ y_2 -y_1 }{ x_2-x_1 }\] write like this in fraction form
separate **
-4(-4)=16 4-10=-6 16/-6???
like i said before we are NOT multiplying
subtract y values not multiply 4(-4) isn't correct
it should be 2 negatives -4-4=-8
no that's the reason i'm saying use the formula
there is a negative sign in the formula here \[\large\rm \frac{ y_2 -y_1 }{ x_2-x_1 }\] substitute y_2 for -4 and y_1 for -4
as in y_1 you mean 10 and y_2 you mean 4
10 and 4 are x-coordinate not y -coordinate x_1 =10 x_2=4 y_1=-4 y_2=-4
|dw:1448429309173:dw| substitute x's and y's for the values
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