Question

Help math please please thanks

Answer 1

• The slope is 2/3. The correct symbol is '+'.

Explanation:

We know that:

• Slope =
  `(y_(2)-y_(1) )/(x_(2) -x_(1) )`

Work:

• =>
  `(y_(2)-y_(1) )/(x_(2) -x_(1) )`
• =>
  `(12-8)/(4-(-2))`
• =>
  `(4)/(6) = (2)/(3)`

Hence, the slope is 2/3. The correct symbol is '+'.

Hoped this helped.

`BrainiacUser1357`

Answer 2

The slope is 2/3. The correct symbol is "+".

Explanation:

Solution :

Here's the required formula to find the slope :

`\longrightarrow{\pmb{\sf{m = (y_2 - y_1)/(x_2 - x_1)}}}`

Where :

`\begin{gathered}\footnotesize\star{\sf{\pink{\underline{\underline{Here}}}}}\begin{cases} \sf m = slope \\ \sf y_2 = 12\\ \sf y_1 =8\\ \sf x_2 = 4 \\ \sf x_1 = - 2\end{cases} \end{gathered}`

Substituting all the given values in the formula to find slope :

`\begin{gathered} \qquad{\longrightarrow{\sf{m = (y_2 - y_1)/(x_2 - x_1)}}}\\\\\qquad{\longrightarrow{\sf{m = (12 - 8)/(4 - ( - 2))}}}\\\\\qquad{\longrightarrow{\sf{m = (4)/(4 + 2)}}}\\\\\qquad{\longrightarrow{\sf{m = (4)/( 6)}}}\\\\\qquad{\longrightarrow{\sf{m = \cancel{(4)/(6)}}}}\\\\\qquad{\longrightarrow{\sf{m = (2)/(3)}}}\\\\\qquad\small \star{\underline{\boxed{\sf{\pink{Slope = (2)/(3)}}}}}\end{gathered}`

Hence, the slope is 2/3. The correct symbol is "+".

`\rule{300}{2.5}`