Questions: Find the slope and the y intercept of the graph of the linear equation. Write your answers in simplest form. 0=4.5-2 y+4.8 x

Solution Steps

To find the slope and the y-intercept of the given linear equation, we need to rewrite the equation in the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.

1. Start by isolating the \( y \) term on one side of the equation.
2. Simplify the equation to get it into the form \( y = mx + b \).
3. Identify the slope \( m \) and the y-intercept \( b \) from the simplified equation.

The given equation is

\[ 0 = 4.5 - 2y + 4.8x \]

Rearranging this equation, we can express it in the form \( y = mx + b \).

Isolating \( y \), we have:

\[ 2y = 4.8x + 4.5 \]

Dividing both sides by 2 gives:

\[ y = 2.4x + 2.25 \]

From the equation \( y = 2.4x + 2.25 \), we can identify the slope \( m \) and the y-intercept \( b \):

• Slope \( m = 2.4 \)
• Y-Intercept \( b = 2.25 \)

Final Answer