The slope of the line that goes through (-3, -5) and (-3, -6) is ______.
I think the answer is "zero" is that correct?
wait no... its "undefined"
m = tan θ = ( y2 - y1 ) / ( x2 - x1 )
m = [ ( -6 - (- 5 ) ] / [ ( -3 - (- 3 ) ] = - 1 / 0 → ∞
undefined
To find the slope of a line passing through two points, you can use the formula:
m = (y₂ - y₁) / (x₂ - x₁)
Given the two points (-3, -5) and (-3, -6), we can substitute their coordinates into the formula:
m = (-6 - (-5)) / (-3 - (-3))
= (-6 + 5) / (-3 + 3)
= -1 / 0
Since we have a zero in the denominator, the slope is undefined, not zero.