Which point could be on the line that is parallel to line KL and passes through point M? -10,0 -6,2 0,-6 8,-10

Answer:(8,-10)Step-by-step explanation:step 1Find the slope of line KLK(-6,8),L(6,0)m=(0-8)/(6+6)m=-8/12=-2/3step 2Find the slope of the line that is parallel to KLwe know thatIf two lines are parallel , then their slopes are the samethereforeThe slope of the parallel line to KL is m=-2/3step 3Find the equation of the line parallel to KL that pass through the point MM(-4,-2)The equation of the line into point slope form is equal toy-y1=m(x-x1)substitutey+2=-(2/3)(x+4)step 4Verify the pointswe know thatIf the point lie on the line, then the point must satisfy the equation of the linecase a) (-10,0)substitute the value of x and the value of y in the equation and then compare the result-10+2=-(2/3)(0+4)-8=-8/3 -----> is not truethereforeThe point is not on the linecase b) (-6,2)substitute the value of x and the value of y in the equation and then compare the result2+2=-(2/3)(-6+4)4=4/3 -----> is not truethereforeThe point is not on the linecase c) (0,-6)substitute the value of x and the value of y in the equation and then compare the result-6+2=-(2/3)(0+4)-4=-8/3 -----> is not truethereforeThe point is not on the linecase d) (8,-10)substitute the value of x and the value of y in the equation and then compare the result-10+2=-(2/3)(8+4)-8=-8 -----> is truethereforeThe point is on the line