Point T has coordinates (-7, -3). If it's reflected across the line x = 2, what will be the coordinates of its image? A (7, -3)
B (11, -3) C (-7, 7) D (7, 3)
1 answer:
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Answer:
y ≤ 2x -2 Option C.
Step-by-step explanation:
Equation of the dotted line which passes through (3,0) and (0,8) will be
y = mx+C
m = = -1
and C = 3
So equation will be y = x + 3
But shaded blue part is above the dotted line so inequality will be y> -x +3
Equation of the second solid line which passes through ( 0,-2) and (1,0) will be
y = mx + C
m = =
= 2
and C = -2
So equation of the line will be y = 2x - 2
But shaded yellow part is below the solid line.
So inequality will be
y ≤ 2x -2
Option C. is the answer.
The answer is the last option:
Explanation:
1. You have that the equation of the line is:
Where is the slope of the line and
is the intercept with the y-axis.
2. Therefore, you must find .
3. Then, you must substitute the points given in the problem and the slope into the equation of the line and solve for , as following: