Question

what is the y-intercept of $6x - 7y = -35$?

a) -7

b) $-\frac{35}{6}$

c) 5

d) 6

Explanation:

Step1: Recall y - intercept definition

The y - intercept of a line is the value of \(y\) when \(x = 0\). So we substitute \(x=0\) into the equation \(6x - 7y=-35\).

Step2: Substitute \(x = 0\) into the equation

Substituting \(x = 0\) into \(6x-7y=-35\), we get \(6\times0 - 7y=-35\), which simplifies to \(-7y=-35\).

Step3: Solve for \(y\)

To solve for \(y\), we divide both sides of the equation \(-7y=-35\) by \(-7\). So \(y=\frac{-35}{-7}=5\).

Answer:

C) 5