One line passes through the points (-7,-4) and (5,4). Another line passes through points (-4,6) and
(6,-9).
Are the lines parallel, perpendicular, or neither?

Perpendicular

Step-by-step explanation:

Let's first get the slopes and see if we can go on from that.

(-7,-4 ) and (5,4) have a slope of : 2/3

(-4/6) and (6,-9) have a slope of : -3/2

This means that they are perpendicular because the slope of line #2 is the reverse and reciprocal of line #1 which follows the perpendicular rule.

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1