<span>1) Find an equation of the plane. The plane that passes through the point (2, 3, 4) and contains the line x = 4t, y = 2 + t, z = 3 − t 2) Find an equation of the plane. The plane that passes through (6, 0, −3) and contains the line x = 2 − 4t, y = 1 + 5t, z = 2 + 2t 3) Find an equation of the plane. The plane that passes through the point (1, −1, 1) and contains the line with symmetric equations x = 2y = 5z 4) Find the point at which the line intersects the given plane. x = 2 − t, y = 1 + t, z = 3t; x − y + 5z = 14 5) Find the point at which the line intersects the given plane. x = 2 + 2t, y = 3t, z = 4 − 2t; x + 2y − z + 2 = 0 6) Find the point at which the line intersects the given plane. x = y − 2 = 2z; 2x − y + 2z = 2</span>
The most direct form to graph a line, is to find two points of it and connect them with a line.
Here we have:
Let's find the point where x = 0. To do this, we replace the x in the equation by 0:
We have our first point: (0, -6)
Next let's find the point where y = 0. Again, we replace y in by 0 in the equation:
We have our second point, (3, 0)
Now all we have to do is plot the points (0, -6) and (3, 0) in the plane, and connect them with a line, and then the line is graphed
The line should look like this:
Answer:
let the other number be x.
then,X+5=10
X =10-5
X=5
Step-by-step explanation:
24x-45y=34x
To solve for y, subtract 24x:
-45y=10x
Divide by -45:
y=-10/45x
Reduce:
y=-2/9x
To solve for x, subtract 24x:
-45y=10x
Divide by 10:
-45/10y=x
Reduce:
-9/2y=x
