Answer:
(-1, -6)
Explanation:
First, make sure each equation follows this format:
y = mx + b
Where m is the slope and b is the y-intercept
Equations:
y = 6x
2x + 3y = -20
The equation in bold is not formatted correctly. Let's make it into the slope-intercept form (y = mx + b).
Subtract 2x on both sides:
2x + 3y = -20
-2x -2x
3y = -2x - 20
Divide by 3 on both sides:
3y = -2x - 20
/3 /3 /3
y = -2/3x -20/3
Now, we have our two equations!
y = 6x
y = -2/3x -20/3
To solve, we need to use substitution. Therefore, set the equations equal to themselves.
y = 6x
y = -2/3x -20/3
6x = -2/3x -20/3
Solve:
6x = -2/3x -20/3
Add 2/3x on both sides:
6x = -2/3x -20/3
+2/3x +2/3x
6 2/3x = -20/3
Divide by 6 2/3 on both sides:
6 2/3x = -20/3
/6 2/3 /6 2/3
x = -1
Therefore, the x-coordinate of the interception point between these two lines is -1.
To find the y-coordinate, substitute the value of x into one of the equations. Let's use y = 6x.
Substitute:
y = 6x
y = 6(-1)
Multiply:
y = 6(-1)
y = -6
Therefore, the y-coordinate of the interception point between these two lines is -6.
The ordered pair is (-1, 6). This means that the two lines have one solution, or one place where they intersect. That location is (-1, 6).