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Find the slope of the line through the given points. (–7, 7), (–1, 10).
A: 1/2
B: 0
C: 2
D: undefined

Sagot :

Amphitrite1040

[tex]\huge\text{Hey there!}[/tex]


[tex]\large\text{Slope of a line formula is: }\mathsf{\dfrac{y_2 - y_1}{x_2 - x_1} = slope}[/tex]
[tex]\large\text{Which simply translate to: }\mathsf{\dfrac{rise}{run} = slope}[/tex]

[tex]\large\text{Or even this: }\mathsf{\dfrac{\triangle_y}{\triangle_x}}[/tex]

[tex]\large\text{Let us label your information, so we can know what your equation}\\\large\text{should look like:}[/tex]

[tex]\mathsf{y_2 = 10}\\\\\mathsf{y_1 = 7}[/tex]

[tex]\mathsf{x_2 = -1}\\\\\mathsf{x_1 = -7}[/tex]


[tex]\large\text{Your equation: }\mathsf{\dfrac{10 - 7}{-1 - -7} = slope}[/tex]

[tex]\large\text{Solving:}[/tex]

[tex]\mathsf{\dfrac{10 - 7}{-1 - -7} = slope}[/tex]

[tex]\mathsf{\dfrac{10 - 7}{-1 + 7} = slope}[/tex]

[tex]\mathsf{\dfrac{3}{6} = slope}[/tex]

[tex]\mathsf{\dfrac{3\div1}{6\div2} = slope}[/tex]

[tex]\mathsf{\dfrac{1}{2} = slope}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{Option\ A. \ \dfrac{1}{2}}}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

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