The equation for the linear function whose graph contains the points (9, 7) and (4, −8) is [tex]y-7=3(x-9)[/tex]
Given the following points:
- Points on the x-axis = (9, 7)
- Points on the y-axis = (4, −8)
To find an equation for the linear function whose graph contains the points (9, 7) and (4, −8), we would determine the slope by using the formula:
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substituting the points into the formula, we have;
[tex]Slope. \;m = \frac{-8 - 7}{4 - 9}\\\\Slope. \;m = \frac{-15}{-5}[/tex]
Slope, m = 3
From the standard equation of a linear function, we have:
[tex]y-y_1=m(x-x_1)\\\\y-7=3(x-9)[/tex]
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