Question #3bf62

2 Answers
Nov 5, 2017

See the answer below...

Explanation:

Here you have to apply the POINT-SLOPE FORM

Suppose, a point is #(x,y)# with whose respect we will determine the answer...

Hence we can write as follows...

#(y-(-3))/(x-5)=8/7#
#=>7y+3cdot7=8x-5cdot8#
#=>8x-7y=21+40=61#

Hence the equation of the straight line is #color(red)(8x-7y=61#

Hope it helps...
Please response after checking...
Thank you...

Nov 5, 2017

#8x-7y-61=0#

Explanation:

Given point (x,y) also passes through the line.

Using the slope formula,

#(y-(-3))/(x-5) = 8/7#

#7(y+3) = 8(x-5)#

#7y+21=8x-40#

#8x-7y-61=0#,

which is the equation of the line.