# `3x + 5y - 30 = 0` State the slope and y intercept of the graph of each equation.

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Expert Answers

mathace | Certified Educator

The equation 3x+5y-30=0 is the general form (standard form). Rewrite the original equation in slope-intercept form which is y=mx+b.

3x+5y-30=0

3x+5y-30+30=0+30

3x+5y=30

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

5y=-3x+30

y=-3/5 x + 30/5

y=-3/5 x+ 6

In the equation y=mx+b. The m represents the slope and the b represents the y-intercept. Therefore the slope m=-3/5 and the y-intercept is b=6.

Student Comments

msharry | Student

Formula: y=mx + c

m represents the gradient and c represents the y intercept

3x+5y-30=0

5y= -3x+30

y= -3/5x + 30/5

-3/5x + 6

the gradient is -3/5 or -.60

y-intercept is 6

kspcr111 | Student

In general the slope and intercept of y=mx+b is

m is the slope and b is the y-intercept.

3x+5y-30=0

3x+5y=30

5y=30-3x

Y= ( -3/5)x+30/5

y= (-3/5)x + 6

The above equation the slope is m= (-3/5) and b=6 is y intercept