Find the equation of the line that contains the point (-1, -4) and is parallel to the line 6x+7y=13 . Write the equation in slope-intercept form, if possible.

Step-by-step explanation:

Slope-intercept form: y=mx+c   (i) , of linear equations,  m= slope and c= y-intercept of the line.

6x+7y=13in slope intercept form would be :

Comparing to (i) ,

Slope of parallel lines are equal.

So, slope of required line =

Equation of line with slope m and passes through point :

So, equation of required line:

step-by-step explanation:

the original amount doesn't ''re just looking for the time it takes for 1/2 of the substance to we have

(1/2) =)     take the ln   of both sides

ln (1/2)   = )   and we can write

ln(1/2) = ) lne     and lne   = 1     so we have

ln(1/2) = -.1092t     divide both sides by -.1092

t = ln(1/2)/-.1092 = about 6.347 days = about 6.3 days (rounded)