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McGraw Hill Glencoe Algebra 2, 2012 View details

3. Rate of Change and Slope

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Exercise 47 Page 82

Can you write the equation in slope-intercept form?

No, see solution.

Practice makes perfect

If the given equation is a linear equation, it will follow the slope-intercept form. y=mx+bIn this form, m is the slope and b is the y-intercept.

18=2xy+6

SubEqn

LHS-6=RHS-6

12=2xy

RearrangeEqn

Rearrange equation

2xy=12

DivEqn

.LHS /2.=.RHS /2.

xy=6

Writing the given equation this way, we see that something is different. xy=6 We can see that there is a product of x and y in the equation. Because of this, the equation cannot be written in slope-intercept form and is therefore not linear.