How many points of intersection are there between line a and line b if they contain the points listed?
line a: (2, 8) and (–2, –4)
line b: (4, 10) and (–3, –11)
zero
one
two
infinite

Zero

Step-by-step explanation:

Hello

let's find the equations of the lines

Line A  p1(2,8)  and p2(-2,-4)

now, with the slope and a point p1(2,8) we find the equation

Equation of the line A :  y=3x+2

Line B   p1(4,10) and p2(-3,-11)

now, with the slope and a point p1(4,10) we find the equation

Equation of the line B :  y=3x-2

the straight lines have the same slope but different point of intersection with the y axis, which means they are parallel and never touch each other

Number of points of intersection : Zero

Have a great day