Question

HELP PLS HURRY...............................................................................

Answer 1

-1/10

Explanation:

To find:-

• The slope of the line passing through the points (-3,-7/2) and (2,-4) .

Answer:-

We are here given two points and we are interested in finding out the slope of the line passing through the points. Slope can be calculated by using;

`:\implies \sf \boxed{\pink{\sf m =(y_2-y_1)/(x_2-x_1)}} \\`

where ,

• (x1,y1) and (x2,y2) are the coordinates of the two points.

Also , we can write the coordinate (-3,-7/2) as (-3,-3.5) .

So on substituting the respective values, we have;

`:\implies \sf m =(-3.5- (-4))/(-3-2) \\`

`:\implies \sf m = (-3.5+4)/(-5) \\`

`:\implies \sf m =(0.5)/(-5) \\`

`:\implies \sf m = (1)/(2(-5))\\`

`:\implies \sf m =(1)/(-10) \\`

`:\implies \sf \pink{ m =(-1)/(10)} \\`

Hence the slope of the line is -1/10 .

Answer 2

• C) - 1/10

--------------------------------

Given two points:

• 
  `(-3, -7/2}) \ and \ (2, -4)`

Find the slope of the line containing these points.

Slope equation:

• 
  `m=(y_2-y_1)/(x_2-x_1)`

Substitute coordinates and find the slope:

• 
  `m=(-4-(-7/2))/(2-(-3))=(-4+7/2)/(2+3)=(-1/2)/5=-1/10`