Find the slope of a line that is perpendicular to a line that passes through the points (7, 1) and (-14, 4)

Solution:

The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.

As we know that the slope of line joining two points (y₂ - y₁) and (x₂ - x₁) is :

m = (y₂ - y₁) / (x₂ - x₁)

Here,

the given points are (7, 1) ( -14, 4).

Calculating slope for thse two given points.

m₁ = 4 - 1 / -14 - 7

= - 3 / 21 = -1/7

Since we know that if the two lines are perpendicular,

their slopes will have a relationship m₁ × m₂ = -1

-1/7 × m₂ = -1

m₂ = -1 × (-7)

m₂ = 7

Hence, the required slope is 7.

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Find the slope of a line that is perpendicular to a line that passes through the points (7, 1) and (-14, 4)

Summary:

The slope of a line that is perpendicular to a line that passes through the points (7, 1) and (-14, 4) is 7.