The slope of the line is five (5).
Given the following data;
To find the slope of the line;
We know that the line graphed on a coordinate plane is represented by the relationship between x and y.
Also, we can deduce from the sentence that the value of y is increased by 5 whenever there is an increase in the value of x.
Thus, when;
- [tex]y_1[/tex] = 5, [tex]x_{1}[/tex] = 1
- [tex]y_{2}[/tex] = 10, [tex]x_{2}[/tex] = 2.
Mathematically, the slope of a line is given by 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{10 - 5}{2 - 1}\\\\Slope. \;m = \frac{5}{1}\\\\[/tex]
Slope, m = 5
Therefore, the slope of the line is five (5).
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