Question

find the y-intercept of the line represented by the equation below.
-15 = -2x + 3y

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 given equation.

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

Given the equation \(-15=-2x + 3y\), when \(x = 0\), the equation becomes \(-15=-2(0)+3y\).
Simplify the right - hand side: \(-15 = 0+3y\), which is \(-15 = 3y\).

Step3: Solve for \(y\)

To solve for \(y\), divide both sides of the equation \(-15 = 3y\) by 3.
\(y=\frac{-15}{3}=-5\).

Answer:

The y - intercept is \(-5\) (or the point \((0, - 5)\))