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Find the y-intercept of the line represented by the equation: -5x+3y=30

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We need to find the y-intercept of the equation.

For this, we need to use the slope-intercept form:


y=mx+b

Where m represents the slope and b the y-intercept.

Now, to get the form, we need to solve the equation for y:

Then:


-5x+3y=30

Solving for y:

Add both sides 5x:


-5x+5x+3y=30+5x
3y=30+5x

Divide both sides by 3


(3y)/(3)=(30+5x)/(3)
(3y)/(3)=(30)/(3)+(5x)/(3)
y=10+(5)/(3)x

We can rewrite the expression as:


y=(5)/(3)x+10

Where 5/3x represents the slope and 10 represents the y-intercept.

The y-intercept represents when the graph of the equations intersects with the y-axis, therefore, it can be written as the ordered pair (0,10).

User Russell Borogove
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