A(−2, 2), B(−2, 4), C(2, 4), and D(2, 2).
rule (x + 7, y − 1)
To find new coordinates we add 7 with x and subtract 1 from y
A(−2, 2) -----> A' (5,1)
B(−2, 4) -------> B' (5, 3)
C(2, 4) ---------> C' (9, 3)
D(2, 2) -------->D' (9, 1)
Characteristics
When we connect all the points by line segments, the line A'B' will be parallel to C'D'.
Also, B'C' parallel to A'D'.
All the four lines forms a rectangle .
60 in^2 will be your answer.
The equation of line that passes through point (-3, 8) and has an undefined slope is x = -3
<u>Solution:</u>
Given that we have to find the equation of line that passes through point (-3, 8) and has an undefined slope
Since the line has an undefined slope. This informs us that it is a vertical line parallel to the y-axis and passing through all points in the plane with the same x-coordinate.
If the slope of the line is undefined, then, by definition the line is a vertical line.
For a vertical line, the value of x is the same for each and every value of y
Given point is (x, y) = (-3 , 8)
Because the value of x in the point provided in the problem is -3, we get
Equation of line is : x = -3
Answer:
The answer to your question is y = 2/3x + 4
Step-by-step explanation:
Data
Equation y = 2/3 x + 5
New line = ?
Process
Two lines are parallel if the have the same slope. The slope is the coefficient of the x.
1.- Get the slope of the original line
y = 2/3x + 5
slope = 2/3
2.- Two find the equation of a parallel line we need to point I will use (0, 4)
Use the point slope formula
y - y1 = m(x - x1)
y - 4 = 2/3(x - 0)
y - 4 = 2/3 x
y = 2/3x + 4
To find the 'maximum height' we will need to take the derivative of h(t) = –16t² + 32t + 6 then set it equal to zero, then solve for t. this t will be the time at which the ball reaches it's maximum height.
