Question

Find the slope of a line that passes through (-2,1) and (4,9)

Answer 1

m = 4/3

Explanation:

To find the slope of a line use the formula, where "m" means slope:

`m=(y_(2)-y_(1) )/(x_(2)-x_(1) )`

*You don't need to show this part on paper*

Choose which point you want to be point 1 and point 2. Remember the points are written (x, y).

Point 1: (-2, 1) x₁ = -2 y₁ = 1

Point 2: (4, 9) x₂ = 4 y₂ = 9

Substitute the coordinates into the formula:

*Show this part on paper*

`m=(y_(2)-y_(1) )/(x_(2)-x_(1) )`

`m=(9-1 )/(4-(-2) )` Simplify

`m=(8 )/(6 )` Reduce by dividing by 2

`m=(4 )/(3 )` Slope

The slope of the line is 4/3