Write the equation, in slope intercept form, for the line shown in the graph below.

y = -2x + 3

Step-by-step explanation:

The slope-intercept form is y = mx + b

m is the slope

b is the y-intercept

those are the only things you need to find when doing slop-intercept form.

Slope: Find 2 points on the line

ex. (0,3) ; (3, -3) I just chose ones that were not decimals

To find slope you need to do this :  y - y / x - x

you can chose any order, as long as the pairs are together, either first or second.

3 - (-3) / 0 - 3 is one way

6 / -3 is the slope

-3 - 3 / 3 - 0 is another

-6 / 3 is the slope

They are essentially the same.

you can simplify them to get -2

Y-Intercept:

this is really easy, just find where the line touches the y-axis

y-intercept = (0,3)

We have: slope = -2

               y-intercept = 3

Now, replace the m and b in the equation-

y = -2x + 3

hope this helps :)

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