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2x+y=-3 is the same as y=-3-2x
This is a straight line that slopes downward with a slope of -2 and intercepts the y-axis at y=-3
Its graph will be a straight line that intersects the y-axis at y=-3 and slopes upward to the left and downward to the right at a relatively steep angle. If you have graph paper, when going to the left of the y-intercept it will rise two boxes for every one box that it goes horizontally. Similarly, going to the right of the y-intercept it will fall two boxes for every one box it travels horizontally.
When x is zero, y is 3, so plot that point.
When x is one, y is 5, so plot that point.
Now draw a straight line between those two points.
-2x+3y=1 3y=1+2x y=(1+2x)/3 Then proceed to find points by plugging in given or arbitrary values of x.
(2x + 3)(2x + 3)
2x = x+3 2x-x = 3 x = 3
(0, -3)
2x + 6y = 6Subtract 2x from each side:6y = -2x + 6Divide each side by 6:y = -1/3 x + 1The graph is a straight line, with a slope of [ -1/3 ], and intersecting the y-axis at the point [ y = 1 ].