Write the linear equation $$ 2 x-7 y=42 $$ in slope-intercept form. .

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UpStudy AI · Accepted Answer

To write the linear equation $$ 2x - 7y = 42 $$ in slope-intercept form ($$ y = mx + b $$), follow these steps:

1. **Start with the original equation:**
   $$
   2x - 7y = 42
   $$

2. **Isolate the $$ y $$-term:**
   $$
   -7y = -2x + 42
   $$

3. **Solve for $$ y $$ by dividing each term by $$-7$$:**
   $$
   y = \frac{2}{7}x - 6
   $$

So, the equation in slope-intercept form is:
$$
\boxed{y = \frac{2}{7}x - 6}
$$
The linear equation $$ 2x - 7y = 42 $$ in slope-intercept form is $$ y = \frac{2}{7}x - 6 $$.

Write the linear equation in slope-intercept form.
.

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Write the linear equation in slope-intercept form. .