What is an equation of the line that is parallel to y=9−5x and passes through (0, 8) ?Enter your equation in the box.
Accepted Solution
A:
Hello!The answer is: [tex]y=8-5x[/tex]Why?If we want to find an equation of a line parallel to the given line, we must remember that parallel lines has the same slope.So,Line equation is:[tex]y=mx+b[/tex]Where:[tex]m=LineSlope[/tex][tex]b=y-axisIntercept[/tex]So, we are given the function:[tex]y=9-5x[/tex]Where:m=-5Also, we are given the point where the line passes through (0,8), we can use it to find "b"[tex]y=b-5x\\y+5x=b\\b=8+5(0)=8[/tex]So, the equation will be:[tex]y=8-5x[/tex]To prove if we are right, let's substitute (0,8):[tex]8=8-5(0)[/tex][tex]8=8-0[/tex][tex]8=8[/tex]Have a nice day!