First, we need to make the equation given to be in the form;
y=mx + b
where m is the slope and b is the intercept
8y - 3x = -8
Add 2x to both-side of the equation
8y = 3x - 8
Divide through the equation by 8
y = 3/8 x -1
comparing the above with y =mx + b
m = 3/8
slope of parallel equations are equal
From the options given the only equation with slope 3/8 is;
y= 3/8 x + 8
The above equation of the line is parallel to 8y - 3x = -8
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Answer:
graph Y
Step-by-step explanation:
The inverse function can be found by solving ...
x = f(y)
x = -3y +3
x -3 = -3y . . . . . subtract 3; next, divide by -3
y = -1/3x +1 . . . . . matches graph Y
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<em>Additional comment</em>
Writing the original equation in standard form can help you see its intercepts.
3x +y = 3
3x = 3 ⇒ x = 1 . . . . x-intercept (at y=0)
y = 3 . . . . y-intercept (at x=0)
The inverse function has the x- and y-intercepts swapped, so you're looking for a line through (0, 1) and (3, 0). The lower left graph (Y) is that graph.
