Question

What is the slope of the line that passes through the points (-2, -3) and (5,4) ? -3 3 -1 1

Answer 1

`\boxed{\textsf{ The slope of the line is \textbf{1}.}}`

Explanation:

Two points are given to us and we need to find the slope of the line that passes through these two points . The two points are (-2,-3) and (5,4) .As we know that the slope of the line is given by
`\tan\theta`

Slope of a line is :-

`\boxed{\boxed{ \sf Slope =( y_2-y_1)/(x_2-x_1)=\tan\theta }}`

On using this formula we can find the slope of the line .

Putting the respective values :-

`\sf\implies Slope = (y_2-y_1)/(x_2-x_1)\\\\\sf\implies Slope = ( -3-4)/(-2-5) \\\\\sf\implies Slope =(-7)/(-7)\\\\\sf\implies\boxed{\pink{\sf Slope = 1 }}`