Question 351625
Hi,
Note: to determine the slope , solve for y in order to put the equation of the line in the slope-intercept form: y = mx + b where m is the slope and b  is the y- intercept(the value of y when the line passes thru the y-axis.
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3x-2y = -4
3x + 4 = 2y
(3/2)x + 2 = y
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y = (3/2)x + 2 
slope = (3/2) The positve slope tells us the line slopes to the right
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As y varies by 3, x varies in the same direction by 2
y-intercept is 2  (0,2) a point on the line
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(0, 2) and (2,5) and (-2,-1) are points on the line

{{{drawing(300,300, -6, 6, -6, 6,
circle(0, 2,0.3),
circle(2, 5,0.2),
circle(-2, -1,0.2),
graph( 300, 300, -6, 6, -6, 6, (3/2)x+2))}}}