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`
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 = 1, y1 = 8, x2 = -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.