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Find the slope of the line that passes through (-4,3) and (6,8)

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To find the slope of a line passing through two points (x1, y1) and (x2, y2), we use the formula:

slope = (y2 - y1) / (x2 - x1)

Here, the points given are (-4, 3) and (6, 8). We can treat (-4, 3) as (x1, y1) and (6, 8) as (x2, y2).

Substituting these values into the formula, we get:

slope = (8 - 3) / (6 - (-4))

1. First, solve for 8 - 3 in the numerator (top). The difference of 8 and 3 is 5.

2. Then solve for 6 - (-4) in the denominator (bottom). By subtracting -4 from 6, it becomes addition and the sum of 6 and 4 is 10.

Hence, the slope is calculated as 5 / 10, which simplifies to 0.5.

Therefore, the slope of the line that passes through the points (-4,3) and (6,8) is 0.5 or 1/2.

User Salomvary
by
8.8k points
5 votes

Answer:

The slope is 1/2

Explanation:

To find the slope, we use the formula

m = ( y2-y1)/(x2-x1)

= ( 8-3)/(6 - -4)

= (8-3)/(6+4)

= 5/10

= 1/2

The slope is 1/2

User Erenwoid
by
8.1k points

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