Answer:
3x + 5y = 50
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
3x + 5y = 8 ( subtract 3x from both sides )
5y = - 3x + 8 ( divide terms by 5 )
y = - x +
← in slope- intercept form
with slope m = -
Parallel lines have equal slopes , then
y = - x + c ← is the partial equation
to fid c substitute (10, 4 ) into the partial equation
4 = - 6 + c ⇒ c = 4 + 6 = 10
y = - x + 10 ← equation of parallel line in slope- intercept form
multiply through by 5 to clear the fraction
5y = - 3x + 50 ( add 3x to both sides )
3x + 5y = 50 ← equation of parallel line in standard form