Final answer:
To find the value of x¹, substitute the given value of y¹ into the equation of the line and solve for x.
Step-by-step explanation:
To find the value of x¹, we substitute the given value of y¹ into the equation of the line and solve for x.
Given: y¹ = -9 and 6x - 8y - 7 = 0.
Substitute y¹ = -9 into the equation:
6x - 8(-9) - 7 = 0
Simplify the equation:
6x + 72 - 7 = 0
Combine like terms:
6x + 65 = 0
Isolate x:
6x = -65
Divide both sides by 6:
x = -65/6
Therefore, x¹ is -65/6.