the value of h is 3
Step-by-step explanation:
Given
slope of line = m = -1/8
(x1,y1) = (7,h)
(x2,y2) = (-1, 4)
Putting the values in the formula for slope
[tex]m = \frac{y_2-y_1}{x_2-x_1}\\-\frac{1}{8} = \frac{4-h}{-1-7}\\-\frac{1}{8} = \frac{4-h}{-8}\\ -\frac{1}{8} * -8 = 4-h\\1 = 4-h\\h = 4-1\\h = 3[/tex]
Hence,
the value of h is 3
Keywords: slope, line
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