The line passing the points (-2,12) and (3-23) intersects the line passing through which of these pairs of points?

(-4, 17) and (5.-28)

(-6, 14) and (4.-16)

(-2.16) and (2.-20)

Step-by-step explanation:

we know that

If two lines intersect, then their slopes are different

The formula to calculate the slope between two points is equal to

Find the slope of the given line

points (-2, 12) and (3, -23)

substitute in the formula

Verify each case

case 1

(-3, 19) and (6.-44)

substitute in the formula

Compare with the slope of the given line

The slopes are the same

therefore

The lines not intersect because are parallel lines

case 2

(-5,32) and (3.-24)

substitute in the formula

Compare with the slope of the given line

The slopes are the same

therefore

The lines not intersect because are parallel lines

case 3

(-4, 17) and (5.-28)

substitute in the formula

Compare with the slope of the given line

The slopes are different

therefore

The lines intersect

case 4

(-6, 14) and (4.-16)

substitute in the formula

Compare with the slope of the given line

The slopes are different

therefore

The lines intersect

case 5

(-2.16) and (2.-20)

substitute in the formula

Compare with the slope of the given line

The slopes are different therefore

The lines intersect

step-by-step explanation: