Question

writing linear eqautions from standard form to slope-intercept form
5x-6y=-18

Answer 1

To convert the linear equation from standard form (Ax + By = C) to slope-intercept form (y = mx + b), we'll follow these steps:

1. Start with the standard form equation:
\[
5x - 6y = -18
\]

2. Solve for \(y\). First, isolate the term with \(y\):
\[
-6y = -5x - 18
\]

3. Next, divide every term by -6 to solve for \(y\):
\[
y = \frac{5}{6}x + 3
\]

Now, the equation \(y = \frac{5}{6}x + 3\) is in slope-intercept form, where:
- The slope \(m\) is \(\frac{5}{6}\)
- The y-intercept \(b\) is \(3\)