You are looking for the slope and y intercept to complete the equation of the line.
The equation of a line is in something called slope intercept form. That looks like y = mx + b. m represents the slope (measure of how steep a line is, and in which direction it is going) and b represents the y intercept (y coordinate when x = 0). You need to find the slope and y intercept to complete the equation.
First, find the slope. The formula for slope is: m = (y2 - y1)/(x2 - x1) where m is the slope and (x1, y1) and (x2, y2) are points.
Pick any two points on the graph. I will use (-2, 0) and (0, 4). Now use these values to find the slope.
m = (4-0)/(0+2) = 4/2
m = 2
m = 2 means that for every two units the line goes up on the y axis, it moves one to the right on the x axis. 2 will go in your first box.
Now find the y intercept. The y intercept is where the line crosses the y axis - it is the y coordinate when x = 0. Here when x = 0, y = 4, so your y intercept is at 4. 4 goes into your second box.
The equation is y = 2x + 4
For
between
and
, we have
is continuous over its domain, so the intermediate value theorem tells us that

is true for
.
For all
, we take into account that
is
-periodic, so the above inequality can be expanded to

where
is any integer. Equivalently,

To get the corresponding solution set for

simply replace
with
:


Cary's age is 9 years MORE than Dan's age.
Cary's age is Dan's age, but with 9 more years added to that.
Here is how we can express that,

In 7 years, Cary will be C+7 years old,
and Dan will be D+7 years old.
In 7 years, the sum of their ages,
(C+7) and (D+7) will equal 93.
Here is how we can express that:

You have a system of two equations involving two unknowns. You have a couple of nice options here. You can apply substitution or elimination to complete the problem.
See picture reply for answer.
Answer: x = 42
Step-by-step explanation: