Question

find the value of a if the line passing through (-5,-8) and(3,0) is parallel to the line passing through (6,3) and (4,a)

Answer 1

For Parallel line the slope of each line is equal.
Formula for the slope of line is M=(y2-y1)/(x2-x1)
Now calculating the slope;
M1- (0-(-8))/(3-(-5))=8/8=1
M2- (a-3)/(4-6)=(a-3)/(-2)
M1=M2
Means
(a-3)/(-2)=1
a-3=-2
a=-2+3=1

Answer 2

Answer:

by slope formula =y2-y1/x2-x1=m1

put value of (0-8)/(3-(-5))=m1

:m1=8

for m2 value =y2-y1/x2-x1=m2=a-3/-2

m1=m2

1=a-3/-2

-2=a-3

a=1