Question

Find the slope of the straight line that passes through the following pair of points. (-4,1) and (2,6) ​

Answer 1

Answer:

5/6

Step-by-step explanation:

(6-1)/(2- -4) --> 5/6

Answer 2

Answer: Slope = 5/6

Concept:

Here, we need to know the idea of a slope.

A slope or gradient of a line is a number that describes both the direction and the steepness of the line.

Slope = (y₂ - y₁) / (x₂ - x₁)

Solve:

Given information

(x₁, y₁) = (-4, 1)

(x₂, y₂) = (2, 6)

Given equation

Slope = (y₂ - y₁) / (x₂ - x₁)

Substitute values into the equation

Slope = (6 - 1) / (2 - (-4))

Simplify values in parentheses

REMEMBER to change signs whenever a [+, -] meets [-] sign

Slope = 5 / (2 + 4)

Slope = 5/6

Hope this helps!! :)

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