Respuesta :

Given ↓

  • Two points that a line goes through

To Find ↓

  • The line's slope

Calculations ↓

When we have two points that a line passes through and asked to determine the slope of the line, the slope formula is going to come in handy.

This is the formula :

[tex]\boxed{\\\begin{minipage}{3cm}slope~formula~: \\ $\displaystyle\frac{y2-y1}{x2-x1}$ \\ \end{minipage}}[/tex]

y2 and y1 are y-coordinates, and x2 and x1 are x coordinates

Plug in the values :

[tex]\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0-(-7)}{7-0} $\end{minipage}}[/tex]

[tex]\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0+7}{7} \end{minipage}}[/tex]

Which simplifies to [tex]^7/_7[/tex], or 1

Slope ↓

1 (Option D.)

hope helpful ~

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