Question

What is the slope of the line that passes through the points (2,−3) and(1,−2)? Write your answer in simplest form.

Answer 1

Answer: -1

Explanation:

slope form is
`m = (y^(2) - y^(1) )/(x^(2) - x^(1) ).` M is the slope. x1 and y1 are coordinates of a point along the line. x2 and y2 are the coordinates of another point along the line.

So we need to substitute in the points you have. let's put in (1, -2) for x1 and y1, and (2, -3) in x2 and y2. it makes
`m = (-3-(-2))/(2-1)`

Now all you have to do is solve the equation.

`m = (-3-(-2))/(2-1)`

`m = (-1)/(1)`

m = -1

(btw the line's equation would be y = -x - 1)

Answer 2

-1

Explanation:

To find the slope between two points we can use the slope formula

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

= ( -2 - -3)/(1 -2)

= ( -2 +3)/( 1-2)

= 1/-1

= -1