writing linear eqautions from standard form to slope-intercept form

Question

x+8y=0

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:

$$x+8y=0$$

Follow these steps:

1. Isolate the $y$ term:

   Subtract $x$ from both sides: $$8y=-x$$

2. Solve for $y$:

   Divide both sides by 8: $$y=-\frac{1}{8}x$$

Now, the equation is in slope-intercept form $y=mx+b$, where:

• The slope $m=-\frac{1}{8}$
• The y-intercept $b=0$

So the final slope-intercept form of the equation is:

$$y=-\frac{1}{8}x$$