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

Answer 1

To transform the linear equation -2y = 14 - 6x to slope-intercept form, we need to isolate y on one side of the equation.

First, let's move the -6x term to the left side by adding 6x to both sides:

-2y + 6x = 14

Next, let's divide the entire equation by -2 to simplify the equation and isolate y:

(-2y + 6x)/-2 = 14/-2

Simplifying further:

y - 3x = -7

Finally, let's rearrange the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept:

y = 3x - 7

So, the linear equation -2y = 14 - 6x can be written in slope-intercept form as y = 3x - 7.