writing linear eqautions from standard form to slope-intercept form

Question

6x-y=9

Answer 1

To convert the linear equation from standard form \( Ax + By = C \) to slope-intercept form \( y = mx + b \), we need to solve for \( y \).

Starting with the equation:

\[ 6x - y = 9 \]

1. Subtract \( 6x \) from both sides:

\[ -y = -6x + 9 \]

2. Multiply the entire equation by -1 to solve for \( y \):

\[ y = 6x - 9 \]

Now, the equation is in slope-intercept form, where:

• The slope \( m \) is 6.
• The y-intercept \( b \) is -9.

So, the equivalent slope-intercept form of the equation \( 6x - y = 9 \) is:

\[ y = 6x - 9 \]