Transform the linear equation −2y=14−6x to slope-intercept form.(1 point) y=
To transform the linear equation -2y = 14 - 6x to slope-intercept form (y = mx + b), we need to isolate the y variable on one side of the equation.
Starting with the given equation:
-2y = 14 - 6x
To isolate y, we'll begin by dividing both sides of the equation by -2, which will give:
y = (14 - 6x) / -2
This equation can be further simplified by distributing the -2 to both terms within the parentheses:
y = -14/-2 + (6x)/-2
Simplifying this further:
y = 7 + (-3x)
The equation y = 7 - 3x is now in slope-intercept form, with the slope being -3 and the y-intercept being 7.