all you do is subtract the 3x from both sides and you get:
y = -3x + 12
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4x + 3y = 12 3y = -4x + 12 y = -4/3x + 4 The slope is therefore -4/3 (the coefficient of the x term) The y intercept is 4 (the value of y when x = 0)
It's the equation of a straight line with a slope of -1.5 and a y-intercept of -3.
4y= -3x + 12 y = -3/4x + 3 The perpendicular slope is 4/3
17
y = 12x or y = 12x + 0 This equation is in the form of slope-intercept form, y = mx + b, where m is the slope. Thus, the slope is 12.