Answer:
1. 1st Quadrant
2. 3rd Quadrant
3. 2nd Quadrant
4. 2nd Quadrant
5. 4rth Quadrant
6. 2nd Quadrant
7. No they do no correspond to the same point.
Step-by-step explanation:
1st Quadrant : ( positive , positive )
2nd Quadrant : ( negative , positive )
3rd Quadrant : ( negative , negative )
4th Quadrant : ( positive , negative )
x 3
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
Answer:
Since the slope of the line is (31/4 - 25/4) / (5/4 - 3/4) = 3 that means that for every 1 that x increases, y increases by 3 so an example could be 1 3/4 for x and 9 1/4 for y.
Answer:
x = -2 or -9
Step-by-step explanation:
You want the values of x such that the line defined by the two points (2x+3, x+2) and (0, 2) is perpendicular to the line defined by the two points (x+2, -3-3x) and (8, -1).
<h3>Slope</h3>
The slope of a line is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
Using the formula, the slopes of the two lines are ...
m1 = (2 -(x+2))/(0 -(2x+3)) = (-x)/(-2x-3) = x/(2x +3)
and
m2 = (-1 -(-3-3x))/(8 -(x+2)) = (2+3x)/(6 -x)
<h3>Perpendicular lines</h3>
The slopes of perpendicular lines have product of -1:

<h3>Solutions</h3>
The values of x that satisfy this equation are x = -2 and x = -9. The attached graphs show the lines for each of these cases.