Question

A line is drawn so that is passes through the points (-4,0) and (2,3) what is the slope of the line

-1/2

1/2

-2

2

Answer 1

slope =
`(1)/(2)`

to calculate the slope m use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 0 ) and (x₂, y₂ ) = (2, 3)

m =
`(3-0)/(2+4)` =
`(3)/(6)` =
`(1)/(2)`

Answer 2

you would use the form y2-y1/x2-x1 so in this case it would be 3-0/2+4 which would be 3/6 but simplify your answer and you get would be 1/2 so your answer is 1/2