Question

Find the gradient of the line segment between the points (-6,4) and (-4,10).

Answer 1

Answer:

Gradient: 3  

Step-by-step explanation:

Gradient/Slope/m Formula: $m = \frac{y2-y1}{x2-x1}$

(-6,4), (-4,10)

m = (10-4)/(-4--6)

m = 6/2

m = 3

Gradient: 3  

Answer 2

Concept

The slope of a line is its gradient. The slope (m) of the line is another term for the gradient. The tangent of the angle determines the gradient or slope of a line inclined at that angle. A slope's gradient serves as a gauge for its steepness. A slope is steeper the higher the gradient. A slope is shallower the smaller the gradient

Given

two points are (₋6,4) and (₋4,10)

Find

the slope of the line segment connecting (₋6,4) and (₋4,10)

Solution

given the points are :

(₋6,4) = (x₁,y₁)

(₋4,10) = (x₂,y₂)

gradient (m) = y₂₋y₁/x₂₋x₁

m = 10₋4/₋4₋(₋6)

m = 6/2

m = 3

hence we get the slope of the line segment between the points as 3.

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