Transform the linear equation -2y=14-6x to slope-intercept form.
To transform the equation -2y = 14 - 6x to slope-intercept form, we need to solve for y.
Dividing all terms by -2, we get:
y = (14 - 6x) / -2
Simplifying the equation, we get:
y = -7 + 3x
Thus, the equation -2y = 14 - 6x can be written in slope-intercept form as y = 3x - 7.
To transform the linear equation -2y = 14 - 6x to slope-intercept form, we need to rearrange the equation to isolate y on one side.
Given equation: -2y = 14 - 6x
First, let's divide both sides of the equation by -2 to isolate y:
-2y / -2 = (14 - 6x) / -2
Now, simplify the equation:
y = (-14 + 6x) / 2
We can further simplify the equation by distributing the numerator:
y = -14/2 + (6x/2)
Simplifying the numerator:
y = -7 + 3x
Therefore, the linear equation -2y = 14 - 6x is transformed to slope-intercept form as y = -7 + 3x. In this form, the coefficient of x is the slope of the line, and the constant term (-7 in this case) is the y-intercept.
To transform the equation -2y = 14 - 6x into slope-intercept form (y = mx + b), follow these steps:
Step 1: Move the term with x to the other side of the equation by adding 6x to both sides:
-2y + 6x = 14
Step 2: Divide both sides of the equation by -2 to isolate the y variable:
(-2y + 6x)/(-2) = 14/(-2)
y - 3x = -7
Step 3: Rearrange the equation to get y alone on one side and the constant on the other side:
y = 3x - 7
Therefore, the equation -2y = 14 - 6x can be transformed into slope-intercept form as y = 3x - 7.