Question

write an equation of a line that is parallel to the given line (8,-5): -5x - 4y=3 HELPP full answer n work plz

Answer 1

if it is parallel then it must have the same slope, so find the slope of your line by isolating y
\[-5x-4y=3\]
\[4y=-5x-3\]
\[y=-\frac{5}{4}x-\frac{3}{4}\]so you slope is
\[-\frac{5}{4}\]

Answer 2

now use the "point - slope' formula:
\[y-y_1=m(x-x_1)\]
\[y-(-5)=-\frac{5}{4}(x-8)\]
\[y+5=-\frac{5}{4}x+10\]
\[y=-\frac{5}{4}x+5\]