writing linear eqautions from standard form to slope-intercept form

Question

5x+y=24

Answer 1

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

Given the equation:

\[ 5x + y = 24 \]

1. Isolate \( y \) on one side of the equation:

\[ y = 24 - 5x \]

2. Rearrange it to put it in the slope-intercept form:

\[ y = -5x + 24 \]

Now, in the slope-intercept form \( y = mx + b \):

• The slope \( m \) is \(-5\)
• The y-intercept \( b \) is \( 24 \)

So, the final equation in slope-intercept form is:

\[ y = -5x + 24 \]