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Sagot :
Answer:
5y+3x=-9
Step-by-step explanation:
Let us start by the general form of the standard equation, Ax+By=C. One way we can solve this problem is by finding the slope-intercept form of this equation, y=mx+b, and converting it into the standard equation. In the slope-intercept form, m represents the slope, b represents the y intercept.
From this problem, we are given both the slope and the y intercept. We know have the equation:
[tex]y=-\frac{3}{5}x -3[/tex]
Great! Now let us rearrange the terms so that the y and x terms are on one side of the equation.
[tex]y+\frac{3}{5} x=-3[/tex]
This seems right, but a standard equation must have coefficient values that are real numbers. So, A and B must be real numbers. We can do this by multiplying the entire equation by 5 and ridding the denominator of the A term.
[tex]5y+3x=-9[/tex]
I hope this helps! Please let me know if you have any questions :)
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