Respuesta :

kudzordzifrancis

Answer:

The slope is [tex]-\frac{3}{5}[/tex]

Step-by-step explanation:

The straight line passes through

[tex](x_1,y_1)=(4,-4)[/tex] and [tex](x_2,y_2)=(-1,-1)[/tex].

The slope of this line can be found using the formula;

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the coordinates;

[tex]m=\frac{-1--4}{-1-4}[/tex]

simplify;

[tex]m=\frac{3}{-5}[/tex]

[tex]m=-\frac{3}{5}[/tex]

imlittlestar

Answer:

The slope of given line = -3/5

Step-by-step explanation:

Formula:

Slope of a line passing through (x₁, y₁) and (x₂, y₂) is given by,

slope = (y₂-y₁)/(x₂-x1)

From the figure we can see that a line graph

To find two coordinate on the graph

Fro figure we get,

1)  (x₁, y₁) =  (-1, -1)

2)   (x₂, y₂) = (4, -4)

To find the slope of given line

Slope =  (y₂-y₁)/(x₂-x1) = (-4 - -1)/(4- -1) = (-4 + 1)/(4 +1) = -3/5

Therefore the slope of given line = -3/5

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