Transform the linear equation −2y=14−6x to slope-intercept form.

Question

y= __

Answer 1

To convert the equation $-2y=14-6x$ to slope-intercept form, which is $y=mx+b$ (where $m$ is the slope and $b$ is the y-intercept), follow these steps:

1. Start with the original equation:

   $$-2y=14-6x$$

2. Divide every term by $-2$ to solve for $y$:

   $$y=\frac{14}{-2}-\frac{6x}{-2}$$

3. Simplifying the fractions gives:

   $$y=-7+3x$$

4. This can be rearranged to:

   $$y=3x-7$$

So the equation in slope-intercept form is:

$$y=3x-7$$