The slope of a line is given by the ratio of the rise to the run of the line.
The value of, y is 4
Reasons:
The given points on the line are; (-4, y), and (5, 7)
The slope of the line, = [tex]\dfrac{1}{3}[/tex]
Required:
To find the value of y
Solution:
The formula for the slope is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where;
(x₁, y₁) = (-4, y)
(x₂, y₂) = (5, 7)
Which gives;
[tex]Slope, \, m =\dfrac{7-y}{5-(-4)} = \dfrac{7-y}{5+4} =\dfrac{1}{3}[/tex]
3·(7 - y) = 1·(5 + 4) = 9
21 - 3·y = 9
3·y = 21 - 9 = 12
[tex]y = \dfrac{12}{3} = 4[/tex]
The value of, y = 4
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