Enter the equation of the line in slope-intercept form. The line parallel to y =
5/4x + 8 that passes through (−8, 0).

The equation of the line that passes through (−8, 0) is y = ???

y = 5x/4 + 10

Step-by-step explanation:

If two lines are parallel, the slopes are equal

The equation of a straight line is y = mx + c

where m is slope and c is y-intercept

So in this case 5/4 is also the slope m of the second line

we can write the equation as;

y-y1 = m(x-x1)

y-0 = 5/4(x + 8)

y = 5x/4 + 10

step-by-step explanation:

b and c

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752