Question

How do you find the slope of the line that passes through the points (3,4), (1,2)?

Answer 1

`"slope "=1`

Explanation:

To calculate the slope use 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)" 2 coordinate points"`

The 2 points here are (3 ,4) and (1 ,2)

let `(x_1,y_1)=(3,4)" and " (x_2,y_2)=(1,2)`

`rArrm=(2-4)/(1-3)=(-2)/(-2)=1`

Answer 2

Slope: `color(green)1`

Explanation:

Given
`color(white)("XXX")(x_1,y_1)=(3,4)` and
`color(white)("XXX")(x_2,y_2)=(1,2)`
the slope is
`color(white)("XXX")m=(y_1-y_2)/(x_1-x_2) = (4-2)/(3-1)=2/2=1`