A. I need to write an equation to the linear equation..(-2,-2), (3,3).

B. I need to graph the function of y=|x| on a coordinate plane.
C. I need to give one similarity and one differnce for the equations and graphs in parts A and B.

I really need your help on this i don't understand at all...so if you can show me step by step then i can do my other math homework...i appreciate it. thanks!!

A. Find the slope (rise/run). Plug x and y into your equation with the slope to find the y-intercept and then you'll have your y=mx+b equation.

B. Should look like a "V" shape open upward starting at the vertex at (0,0). Basically "x" can be any number and "y" must be greater or equal to 0.

C. Base on your findings on A & B, you should be able to answer this question. Compare the slopes or y-intercept and you can see that on part B, there's a restricted value for the y values and part B has no restriction...etc.

I would add to B that the lines depart the origin at 45 degrees from the x (and y) axis.

Both involve straight line graphs at 45 degrees to the axes
the first one has a y range from - infinity to + infinity.
The second one has a y range from 0 to + infinity as Jake said.

A. To write the equation of a linear equation, you need to use the formula for the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Step 1: Find the slope (m)
The formula to find the slope is: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Given points: (-2, -2) and (3, 3)
Using the formula:
m = (3 - (-2)) / (3 - (-2))
m = 5 / 5
m = 1

Step 2: Find the y-intercept (b)
Once you have the slope, you can substitute one of the points into the equation y = mx + b and solve for b.

Using the point (-2, -2):
-2 = 1 * (-2) + b
-2 = -2 + b
b = 0

Step 3: Write the equation
Using the values of m and b, we can now write the equation of the line:
y = 1x + 0 (or simply y = x)

B. To graph the function y = |x| on a coordinate plane, you need to plot points that satisfy the equation.

Step 1: Choose x-values
Choose some x-values to plug into the equation. For simplicity, let's choose -3, -2, -1, 0, 1, 2, and 3.

Step 2: Calculate y-values
Plug each x-value into the equation y = |x| and calculate the corresponding y-value.

For example:
When x = -3, y = |-3| = 3
When x = -2, y = |-2| = 2
When x = -1, y = |-1| = 1
When x = 0, y = |0| = 0
When x = 1, y = |1| = 1
When x = 2, y = |2| = 2
When x = 3, y = |3| = 3

Step 3: Plot the points
On a coordinate plane (with x as the horizontal axis and y as the vertical axis), plot the pairs of x and y values. You will have points at (-3, 3), (-2, 2), (-1, 1), (0, 0), (1, 1), (2, 2), and (3, 3).

Step 4: Connect the points
Connect the plotted points with a smooth curve. Remember that the graph represents the equation y = |x|.

C. Similarity:
Both equations are linear functions. The equation in part A, y = x, is a simple linear equation, while the equation in part B, y = |x|, is a linear equation with an absolute value.

Difference:
The equation in part A represents a straight line with a positive slope, while the equation in part B represents a V-shaped graph that is symmetrical about the y-axis. Additionally, the equation in part B has an absolute value, which means that the values of y are always non-negative.