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3 years ago

What is the slope of the line which passes through (−2, 0) and (0, 4)? −2 0 2 Undefined

Mathematics

2 answers:

faust18 [17]3 years ago

7 0

slope is also m

m= Y2-Y1 / X2-X1

X1= -2

X2= 0

Y1= 0

Y2= 4

4-0/0-(-2)

4/2

divide by 2

4/2= 2

2/2= 1

2*1= 2

Answer: slope is 2

Shkiper50 [21]3 years ago

3 0

For this case we have that by definition, the formula to find the slope of a line is given by:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

According to the data we have the following points:

$(x_ {1}, y_ {1}): (- 2,0)\\(x_ {2}, y_ {2}) :( 0.4)$

Substituting we have:

$m = \frac {4-0} {0 - (- 2)} = \frac {4} {0 + 2} = \frac {4} {2} = 2$

Answer:

Option C

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What is the slope of this line of best fit?

Bas_tet [7]

Answer:

The slope of the line of best fit is $\frac{-6}{7}$ ⇒ 2nd option

Step-by-step explanation:

The formula of the slope of a line is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

<em>To find the slope of the best line fit choose two points their positions make the number of the points over the line equal to the number of the points below the line</em>

From the attached graph points (1 , 9) and (8 , 3) are the best choice

∵ The line passes through points (1 , 9) and (8 , 3)

∴ $x_{1}$ = 1 and $x_{2}$ = 8

∴ $y_{1}$ = 9 and $y_{2}$ = 3

- Substitute them in the formula of the slope

∴ $m=\frac{3-9}{8-1}=\frac{-6}{7}$

∴ The slope of the line of best fit is $\frac{-6}{7}$

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