Respuesta :

Hi1315

Answer:

4th answer is correct

Step-by-step explanation:

The formula to find the slope of a line is :

m = [tex]\frac{y_1-y_2}{x_1-x_2}[/tex]

In the question, they have given 2 coordinates of the line.

They are,

( -2 , - 9 ) ⇒ ( x₁ , y₁ )

( -1 , -3 ) ⇒ ( x₂ , y₂ )

Let us solve now.

m = [tex]\frac{y_1-y_2}{x_1-x_2}[/tex]

m = [tex]\frac{-9-(-3)}{-2-(-1)}[/tex]

m = [tex]\frac{-9+3}{-2+1}[/tex]

m = [tex]\frac{-6}{-1}[/tex]

m = 6

Hope this helps you :-)

Let me know if you have any other questions :-)

Starrysoul100

[tex]\bold{\huge{\pink{\underline{ Solution}}}}[/tex]

  • We have given points (-2 , -9) and ( -1,-3)

We know that,

[tex]\sf{ Slope = }{\bold{\huge{\frac{ y2 - y1 }{ x2 - x1}}}}[/tex]

[tex]\sf{ Here, y2=-3 , y1= -9 \:and \:x2=-1 , x1 = -2 }[/tex]

Subsitute the required values, we get

[tex]\sf{ Slope = }{\bold{\huge{\frac{ -3 -(-9) }{ -1 - (-2)}}}}[/tex]

[tex]\sf{ Slope = }{\bold{\huge{\frac{ -3 + 9 }{ -1 + 2 }}}}[/tex]

[tex]\sf{ Slope = }{\bold{\huge{\frac{ 6 }{1}}}}[/tex]

[tex]\bold{\pink{ Hence\:the\:slope\:of\:the\:graph\: is\:6}}[/tex]