(A) The equation 6x + 2y = - 12 in slope intercept form is y = - 3x - 6
Simply put, the slope-intercept form is the way to write a line's equation so that the y-intercept (where the line crosses the vertical y-axis) and slope (steepness) are instantly visible.
Consider the equation,
6x + 2y = - 12
The equation of a line in slope intercept form is given as:
y = mx + b where m is the slope and b is the y-intercept.
Now,
6x + 2y = - 12
Subtracting 6x from each side of the equation,
6x + 2y - 6x = - 12 - 6x
2y = - 12 - 6x
Dividing each side of the equation by 2,
y = - 3x - 6
Comparing the equation with y = mx + b.
m = - 3 and b = - 6
Therefore, the equation in slope intercept form is y = - 3x - 6.
Learn more about slope intercept form here:
brainly.com/question/22057368
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