Answer
The two equations intercept at point (-6,23)
Work Step by Step
To find the point of intersection between the two equations, we have to equal them to each other.
y = -3x + 5
y = -4x - 1
Since, y = y and both of the equations are equal to y, we can substitute the values in place of y.
-3x +5 = -4x - 1
+ 4x + 4x
x +5 = - 1
- 5 - 5
x = -6
Now we can substitute the x value into either of the two equations to find the y-value
y = -4(-6) - 1
y = 24 - 1
y = 23
From this we get the ordered pair (-6,23) and this is where the two points intercept
