Answer:
x = - 2
Step-by-step explanation:
Givens
(2,5)
(x,3)
m = 1/2
Formula
m = (y2 - y1)/(x2 - x1)
Solution
y2 = 3
y1 = 5
x2 = x
x1 = 2
1/2 = (3 - 5)/(x - 2) Cross multiply
1*(x - 2) = 2 (-2) Combine and remove the brackets.
x - 2 = - 4 Add 2 to both sides
x = - 4 + 2
x = - 2
x = -1
Step-by-step explanation:
or
Since both sides have the same base, we can write
10x = 5x - 5
or
5x = -5
x = -1
Answer:
It is B. H = 3d
Step-by-step explanation:
I got it right :)
<span>What is the y-intercept of the plane whose equation is 4x + 5y + z = 20?
(0, 4, 0)
Which equation has intercepts at X(1, 0, 0), Y(0, 1, 0), and Z(0, 0, 2)?
2x + 2y + z = 2
Which equation is equivalent to x + 3y + z = 3?
4x + 12y + 4z = 12
Which of the following points lies in the plane 3x + 2y + 4z = 12?
(4, 3,2)
Hope these answer the questions. Have a nice day.</span>
Answer: The equation is y = -6*x
Step-by-step explanation:
I suppose that we want to find the equation for a line that passes through the point (-1, 6) and the origin (remember that the origin is the point (0,0))
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is equal to:
a = (y₂ - y₁)/(x₂ - x₁)
Now we know that our line passes through the points (0, 0) and (-1, 6), then the slope is:
a = (6 - 0)/(-1 - 0) = 6/-1 = -6
Then our equation is something like:
y = -6*x + b
To find the value of b we can use the fact that this line passes through the point (0, 0).
This means that when x = 0, y is also equal to zero.
If we replace these values in the equation we get:
0 = -6*0 + b
0 = b
Then our equation is:
y = -6*x
