Question

writing linear eqautions from standard form to slope-intercept form
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:

\[
y = -5x + 24
\]