Slope is -4 and (6,8) is on the line; standard form

The standard form of equation with slope -4 passing through point (6,8) is:4x+y=32Step-by-step explanation:Givenm= -4 Point (6,8)Slope intercept-form of equation is:[tex]y=mx+b[/tex]Putting m=-4[tex]y=-4x+b[/tex]To find the value of b, put (6,8) in the equation[tex]8=-4(6)+b\\8=-24+b\\b=8+24\\b=32[/tex]Putting the values of b and m we get[tex]y=-4x+32[/tex]Adding 4x on both sides[tex]4x+y=-4x+4x+32\\4x+y=32[/tex]The standard form of equation with slope -4 passing through point (6,8) is:4x+y=32Keywords: Equation of line, SlopeLearn more about equation of line at:brainly.com/question/4021035brainly.com/question/4034547#LearnwithBrainly