Question 351715
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-8y=4
3x -4 = 8y
(3/8)x -1/2 = y
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y = (3/8)x -1/2
slope = (3/8) Slope is a positive number, therefore line slants to the right
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(As y varies by 3, x varies in the same direction by 8!)
y-intercept is -1/2 (0,-1/2) a point on the line
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(0, -1/2) and (8, 2.5) and (-8, -3.5) are points on the line

{{{drawing(300,300, -10, 10, -10, 10,
circle(0, -.5,0.3),
circle(8, 2.5,0.2),
circle(-8, -3.5,0.2),
graph( 300, 300,  -10, 10, -10, 10, (3/8)x-1/2))}}}