The points (7, –7) and (0, 3) fall on a particular line. What is its equation in slope-intercept form?

Step-by-step explanation:

We want to find the equation of the line that includes the points (7, -7) and (0, 3).

First, we will find the slope of the line using the slope formula given by:

So, the slope of our line is:

Next, notice that the given point (0, 3) is our y-intercept.

Slope-intercept form is given by:

Where m is the slope and b is the y-intercept.

Therefore, by substitution, we acquire that our equation is:

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