Answer:
y = x + 3
Step-by-step explanation:
Slope-intercept form is represented by the formula
. We can write an equation in point-slope form first, then convert it to that form.
1) First, find the slope of the line. Use the slope formula
and substitute the x and y values of the given points into it. Then, simplify to find the slope, or
:
Thus, the slope of the line must be 1.
2) Now, since we know a point the line intersects and its slope, use the point-slope formula
and substitute values for
,
, and
. From there, we can convert the equation into slope-intercept form.
Since
represents the slope, substitute 1 in its place. Since
and
represent the x and y values of a point the line intersects, choose any one of the given points (either one is fine) and substitute its x and y values into the equation, too. (I chose (0,3).) Finally, isolate y to find the answer:

Step-by-step explanation:
x²+7x+12
x²+4x+3x+12
x(x+4)+3(x+4)
(x+3)(x+4)
hope it helps
Solution given in the attachment.
Answer:
x < 8
Step-by-step explanation:
x= # of hikes
3x +16 =5x
-3x. -3x
16=2x
16/2= 8
2x/2= x
8=x
x=8
check:
3(8) +16 =5(8)
24 +16 =40
40=40 ✓
there for at 8 hikes with either deal it would be the same but if you went up a number of hikes for the first option it would only be $43.00 spent in total. but with the second option it would be $45.00.