The slope of the line passing through the points (-7,2) and (9,6) is 1/4.
Formula of slope
Point-slope formula
[tex]y-y_{1} = m(x-x_{1} )[/tex]
In the slope formula, m stands for slope which is calculated as the
[tex]$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$[/tex]
= Δy/Δx
where, m = slope
[tex](x_1, y_1)=[/tex] coordinates of the first point in the line
[tex](x_2, y_2)=[/tex] coordinates of the second point in the line
We have the points (-7,2) and (9,6).
Substitute the values [tex]x_{1}}$[/tex], [tex]{x_{2}[/tex] and [tex]y_{1}}[/tex], [tex]${y_{2}[/tex] in the above equation, we get
[tex]$m=\frac{6-2}{9-(-7)}[/tex]
[tex]$=\frac{4}{16}=\frac{1}{4}$[/tex]
Therefore, the slope m = 1 / 4.
To learn more about the Point-slope formula
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