Answer:
1. 4
2. 16
3. 4/3
4. 64/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
The point-slope form of an equation of a line:
m - slope
Parallel lines have the same slope.
We have the equation in the slope-intercept form (y = mx + b)
Put to the point-slope equation value of the slope and the coordinates of the point (4, -5):
To solve this problem, we have to manually
solve for the value of x for each choices or equations. The correct equation
will give a value of -1 since the linear equations intersects at point (-1,
-4).
<span>1st: 7x + 3 = x + 3</span>
7x – x = 3 – 3
6x = 0
<span>x = 0 (FALSE)</span>
<span>2nd: 7x − 3 = x – 3</span>
7x – x = 3 – 3
6x = 0
<span>x = 0 (FALSE)</span>
<span>3rd: 7x + 3 = x − 3</span>
7x – x = - 3 – 3
6x = -6
<span>x = -1 (TRUE)</span>
<span>4th: 7x − 3 = x + 3</span>
7x – x = 3 + 3
6x = 6
<span>x = 1 (FALSE)</span>
Therefore the answer is:
<span>7x + 3 = x − 3</span>
Before we do this problem, let's go over a little algebra terminology.
The number in front of your variable is called your <em>coefficient </em>and notice that the <em>x</em> at the end of the problem does not have a coefficient.
When that happens, when there is no number in front of your variable, you can put a 1 there to fill that position. So -x can be thought of as -1x.
Next let's change all our minus signs to plus negatives.
So the problem reads 3x + 5 + 7x + -3 + -1x + 2.
Now let's simplify this by combining like terms.
We can combine our "x" terms first.
3x + 7x + -1x simplifies to +9x.
Now, 5 + -3 + 2 simplifies to 4.
So our answer is 9x + 4.
