Write the equation

Question

Write the equation of the line passing through the given points. Write the equation in standard form Ax + By = C.

(3/5, 4/5) and (-1/5, 7/5)

 

Answer 1

slope = m = change in y over change in x = (7/5- 4/5)/(-1/5 -3/5) = (3/5)/(-4/5) = -3/4

y= -3x/4 + b, plug in either point to solve for b

4/5 = -3(3/5)/4 +b

b = 4/5 +9/20 = 25/20=5/4

y= -3x/4 +5/4

4y =-3x +5

3x +4y = 5

in point slope form

y -4/5 = (-3/4)(x-3/5)

multiply by 20

20y -16 =-15x +9

15x +20y = 25 divide by 5

3x +4y =5 in standard form

it checks out for both points