Mathematics, 08.11.2019 05:31 Katmcfee7681

what is the slope of the line through (1, -1) and (5, 7)?

Answers: 3

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Answers

Answer from: Jasten

Step-by-step

7-(-1)/5-1=8/4 =2

Answer from: jeffrey74081

Step-by-step explanation:

The equation for slope is y2 - y1 / x2 - x1. So 7 - -1 / 5 - 1 equals 8 / 4. 8 / 4 is 2.

Answer from: davidheredia9

(1,-1)(5,2)
slope = (2 - (-1) / (5 - 1) = 3/4

there will be 2 point slope answers for this..
y - y1 = m(x - x1)
slope(m) = 3/4
(1,-1)...x1 = 1 and y1 = -1
sub
y - (-1) = 3/4(x - 1)
y + 1 = 3/4(x - 1) <=== this is one of them

y - y1 = m(x - x1)
slope(m) = 3/4
(5,2)...x1 = 5 and y1 = 2
sub
y - 2 = 3/4(x - 5) <== here is the other one

Answer from: marine7643

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 1}}\quad ,&{{ -1}})\quad 
% (c,d)
&({{ 5}}\quad ,&{{ -7}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-7-(-1)}{5-1}\implies \cfrac{-7+1}{5-1}
\\\\\\
\cfrac{-6}{4}\implies -\cfrac{3}{2}$

Answer from: leahstubbs

-3/2

Step-by-step explanation:

The slope is the ratio of rise to run, the change in y divided by the change in x. It is often designated by the letter "m".

m = (change in y)/(change in x) = (-7 -(-1))/(5 -1) = -6/4

m = -3/2

The slope of the line through the given points is -3/2.

Answer from: Gaby702

-3/2

Step-by-step explanation:

Given two points, we can find the slope by

m = (y2-y1)/(x2-x1)

= (-7 - -1)/ (5-1)

= (-7+1)/(5-1)

= -6/4

= -3/2

Answer from: Frenchfries13

-3/2

Step-by-step explanation:

the formula for slope is y1-y2/x1-x2

where

y1 is the first point's y coordinate

x1 is the first point's x coordinate

y2 is the second point's y coordinate

x2 is the second point's y coordinate

so now we can plug our points in

-1-(-7)/1-5

6/-4

simplify

-3/2

Answer from: bdog70

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-7}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-7-(-1)}{5-1}\implies \cfrac{-7+1}{4} \\\\\\ \cfrac{-6}{4}\implies -\cfrac{3}{2}$

Answer from: bestballer7095

m=-2

Step-by-step explanation:

Answer from: twistedhyperboles

Step-by-step explanation:

Subtract the "Y" values from the ordered pairs -1 - (-7)= 6

Subtract the "X" values from the ordered pairs 1-5 = -4

Remember slope is rise over run or y over x so the answer is -6/4 or -3/2 reduced

I always bring my negative to the top after I finish solving

Since you didn't provide the choices your answer is either going to be 3/-2 or -3/2 depending if your teacher makes you bring the negative to the top

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