Answer to Question #297018 in Algebra for austyn

Question

Find an equation of the line. Write the equation using function notation.

Through (−5,−9)​; parallel to 6x+5y=11  

Answer 1

Solution

Re-write 6x+5y =11 into the form y=mx + c

5y=-6x+11

y = -6/5 x +11/5

Parallel lines have equal gradient m = -6/5

Hence, the equation of the line would be given by

${y-(-9) \above{2pt} x-(-5)}=- {6 \above{2pt} 5}\\ 5(y + 9) =-6(x + 5)\\ 5y +45 = -6x-30\\ 5y +6x = -75 [Answer]$