Question

The points given in the table lie on a line. Find the slope of the line.

Answer 1

`\sf m=-(4)/(3)`

Explanation:

First, select any two coordinates of the line.

( -1, 3 ) ⇒ ( x₁ , y₁ )

( 2, -1 ) ⇒ ( x₂ , y₂ )

And now let us use the below formula to find the slope of the line.

`\sf m= (y_1-y_2)/(x_1-x_2) \\`

Let us find the slope now.

`\sf m= (y_1-y_2)/(x_1-x_2) \\\\\sf m= (3-(-1))/(-1-2) \\\\\sf m= (4)/(-3)\\\\\sf m=-(4)/(3)`

Answer 2

-4/3

Explanation:

We can find the slope of the line using

m = ( y2-y1)/(x2-x1)

m = ( -9 -3)/( 8 - -1)

= ( -9-3)/( 8+1)

= -12 / 9

= -4/3