Question

Write an equation of the line that is parallel to 5x + 20y = 10 and passes through the point (8, 3).

A) y = 4x - 29
B) y = 4x + 35
C) y = 1/4 x - 1
D) y = - 1/4 x + 5

please include the steps. if anyone would be willing to teach me how to do this, I would really appreciate it.

Answer 1

first we know that when two lines are parallel they have the same slope

m1=m2

5x+20y=10 this rearranges to

y=1/4x+1/2

and we found the slope to be -1/4

then we use the formula

y-yo=m (x-xo)

where xo is 8 and yo is 3

this makes y-3=-1/4 (x-8)

y-3=-1/4x+2

so our final equation will be

y=-1/4x+5

the answer is D