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The slope of the line that passes through the points
(3, 14) and (7, 9) is

ASAP


Sagot :

-5/4 , by using m= (y2-y1)/ (x2-x1)

Answer:

[tex]\boxed {\boxed {\sf m= - \frac{5}{4} }}[/tex]

Step-by-step explanation:

The formula for slope is:

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

where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

The line passes through (3,14) and (7,9). Therefore,

[tex]x_1=3 \\y_1=14 \\x_2=7 \\y_2=9[/tex]

Substitute the values into the formula.

[tex]m= \frac{9-14}{7-3}[/tex]

Solve the numerator.

[tex]m=\frac{-5}{7-3}[/tex]

Solve the denominator.

[tex]m= \frac{-5}{4}[/tex]

This fraction is reduced, so it is the answer.

The slope is equal to -5/4