Question

y = ax - b gives the height y of an angled ladder, x ft from its base. find a formula for x in terms of y.
a. x = \frac{y}{a}+b
b. x = \frac{a + b}{y}
c. x = y + \frac{b}{a}
d. x = \frac{y + b}{a}

Explanation:

Step1: Isolate the term with \(x\)

Given \(y = ax - b\), add \(b\) to both sides:
\(y + b=ax\)

Step2: Solve for \(x\)

Divide both sides by \(a\) (\(a
eq0\)):
\(x=\frac{y + b}{a}\)

Answer:

D. \(x=\frac{y + b}{a}\)