Question

How would you find the slope of the line passing through points (-2, 1) and (2, 2)?

Answer 1

See the solution process below:

Explanation:

The slope can be found by using the formula: `m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))`

Where `m` is the slope and (`color(blue)(x_1, y_1)`) and (`color(red)(x_2, y_2)`) are the two points on the line.

Substituting the values from the points in the problem gives:

`m = (color(red)(2) - color(blue)(1))/(color(red)(2) - color(blue)(-2)) = (color(red)(2) - color(blue)(1))/(color(red)(2) + color(blue)(2)) = 1/4`

Answer 2

`"slope "=1/4`

Explanation:

`"calculate the slope using the "color(blue)"gradient formula"`

`color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))`
where m represents the slope and `(x_1,y_1),(x_2,y_2)" are 2 coordinate points"`

`"the 2 points here are " (-2,1)" and " (2,2)`

`"let " (x_1,y_1)=(-2,1)" and " (x_2,y_2)=(2,2)`

`rArrm=(2-1)/(2-(-2))=1/4`