# What is the slope of the line that passes through the points (1, 8) and (-4, 16)

justaguide | College Teacher | (Level 2) Distinguished Educator

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The slope of a line passing through the points (x1, y1) and (x2, y2) is given as `m = (y2 - y1)/(x2 - x1)`

In the problem, the line passes through the points (1, 8) and (-4, 16). The slope of the line has to be determined. Substituting the values of the x and y coordinates of the points that the line passes through, the slope of the line is:

m = `(16- 8)/(-4 -1)`

=> m = `8/-5`

=> m = `-8/5`

The slope of the line that passes through the points 1, 8) and (-4, 16) is `-8/5`

kselfe31 | Student, Undergraduate | (Level 1) eNoter

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Find the slope of the line segment joining the points (1, 8) and ( - 4, 16 ).  (x1,y1) and (x2, y2)

Label the points as x1 = 1y1 = 8x2 = -4, and y2 = 16.

To find the slope m of the line segment joining the points, use the slope formula :

Slope= m = (y2 –y1)/(x2 –x1) = (16 – 8)/ (-4 – 1) = -8//5

So, m = - 8/5.