Answer:
3(z+3) = 3z + 9 if thats what your asking
Step-by-step explanation:
Given that the line passes through the two points (-3,4) and (2,8)
We need to determine the equation of the line.
<u>Slope:</u>
The slope of the line can be determined using the formula,
Substituting the points (-3,4) and (2,8) in the above formula, we get;
Thus, the slope of the line is
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the point (-3,4) and in the above formula, we have;
Thus, the equation of the line is
So first, this is point slope form. The first step is to distribute.)
Then add 4 to both sides.
Then add 2x and it becomes
You can use the equation to find the slope of a line given two points. This equation is y2 - y1 divided by x2 minus x1. The y2 is represented by the y coordinate of the second ordered pair, but it really doesn't matter, either way you get the same answer. The same way the x2 is represented by the x coordinate of the second ordered pair. For this problem, I will just use the normal coordinates. So the second y coordinate is 3. 3 -0 = 3. So your numerator is 3. The second x coordinate is 2. 2-0 = 2. So the denominator is 2. This is 3/2. So your slope would be 3/2. Hope this helps. :D Let me know if you didn't understand something in my explanation.