Answer:
The slope is 1.
Step-by-step explanation:
Slope is rise over run. From (6,-10) to (3,-13) the line rose 3 (the distance between their two y values). The line also ran 3 (the distance between the x values).
The slope of the line that passes through the points (6,−10) and is 1.
When a line passes through two points, then the slope of that line is calculated by the formula [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] where [tex](x_{1},y_{1})(x_{2},y_{2})[/tex] are the points on the line.
Thus we will substitute [tex](x_{1},y_{1})=(6,-10)[/tex] and [tex](x_{2},y_{2})=(3,-13)[/tex] in the above formula.
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-13-(-10)}{3-6}[/tex]
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{(-13+10)}{3-6}[/tex]
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-3}{-3}[/tex]
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=1[/tex]
So, the slope of the line that passes through the given points will be 1.
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