Which points are on the line that passes through (-2, 10) & (1, 4)

Question

A slope that is on a line

Answer 1

I think what you are trying to ask is what the equation of the line that passes through the points (-2,10) and (1,4) is.  In that case, we refer to the point-slope formula of a line:

 

y - y₁ = [(y₂ - y₁)/(x₂ - x₁)]*(x - x₁)

 

Order of points doesn't matter, but here, we will let (x₁,y₁) = (-2,10) and (x₂,y₂) = (1,4).

 

Plugging these into the above equation, we have that:

 

y - 10 = [(4 - 10)/(1 + 2)]*(x + 2)

y - 10 = [-6/3]*(x+2)

y - 10 = -2*(x+2)

y - 10 = -2*x - 4

y = -2*x + 6.

 

Therefore, all points that line on the line between the points (-2,10) and (1,4) will lie on the line defined by y=-2*x + 6.