Answer:
B
Step-by-step explanation:
Since the inequality is < then the line separating the shaded and plain regions will be broken.
Thus graph A or B
Choose a test point in each shaded region and check validity of solution
From A choose (0, 2), then
2 < 0 + → 2 <
← False
From B choose (0, - 2), then
- 2 < 0 + → - 2 <
← True
Thus the graph representing the inequality is B
Answer:
y = -1/2x + 5/2
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = 2x + 3. Its slope is 2. A line perpendicular to this one will have a slope of -1/2.
Plug this value (-1/2) into your standard point-slope equation of y = mx + b.
y = -1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (1, 2). Plug in the x and y values into the x and y of the standard equation.
2 = -1/2(1) + b
To find b, multiply the slope and the input of x (1)
2 = -1/2 + b
Now, add 1/2 to both sides to isolate b.
5/2 = b
Plug this into your standard equation.
y = -1/2x + 5/2
This equation is perpendicular to your given equation (y = 2x + 3) and contains point (1, 2)
Hope this helps!
Answer:
detail answer is given go through it .....
