Question

The graph of the line passing through the points (6,7) and (4,2) has a slope of?

Answer 1

`( y_(2) - y^(1) )/( x^(2) - x^(1))`


`(2 - 7)/(4 - 6)`


`(-5)/(-2)`


`(5)/(2)`


`2(1)/(2)`


`y - y_1 = m(x - x_1)`

`y - 7 = 2(1)/(2)(x - 6)`

`y - 7 = 2 (1)/(2)x - 15`

`y - 7 + 7 = 2(1)/(2)x - 15 + 7`

`y = 2 (1)/(2)x - 8`

Answer 2

slope = (y2 - y1) / (x2 - x1)
when given the points (x1, y1) and (x2, y2)

so we can get
slope = (7 - 2) / (6 - 4) = 5 / 2

slope = 5/2 , 2 1/2 , or 2.5