Transform the linear equation −2y=14−6x to slope-intercept form.
To transform the linear equation −2y = 14 − 6x to slope-intercept form, we want to isolate y on one side of the equation.
We start by dividing both sides of the equation by -2:
−2y/-2 = 14/-2 − 6x/-2
This simplifies to:
y = -7 + 3x
Thus, the equation in slope-intercept form is y = 3x - 7.
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what is the answer
0.4x+0.2y=0.6
To transform the linear equation -2y = 14 - 6x to slope-intercept form (y = mx + b), we need to isolate y on one side of the equation.
Step 1: Distribute the -6x to both terms on the right side:
-2y = -6x + 14
Step 2: Divide the entire equation by -2 to solve for y (so that the coefficient of y becomes 1):
y = (-6/-2)x + (14/-2)
Step 3: Simplify the equation:
y = 3x - 7
So, the given linear equation -2y = 14 - 6x can be written in slope-intercept form as y = 3x - 7.
To transform the linear equation into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these steps:
Step 1: Reorder the equation so that y is isolated on one side:
−2y = 14 − 6x
Step 2: Divide the entire equation by the coefficient of y, which is -2 in this case:
−2y / -2 = (14 − 6x) / -2
This simplifies to:
y = (14 / -2) + (6x / -2)
Step 3: Simplify the equation further:
y = -7 - 3x
Now, the equation −2y = 14 − 6x has been transformed into slope-intercept form, which is y = -7 - 3x. The slope of the line is -3, and the y-intercept is -7.