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McGraw Hill Glencoe Algebra 2, 2012 View details

3. Rate of Change and Slope

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Exercise 46 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.

4x^2=2y-9

AddEqn

LHS+9=RHS+9

4x^2+9=2y

DivEqn

.LHS /2.=.RHS /2.

2x^2+9/2=y

RearrangeEqn

Rearrange equation

y=2x^2+9/2

Writing the given equation this way, we see that something is different. y=2 x^2+9/2 The x-term has an exponent. Because of this, the equation cannot be written in slope-intercept form and is therefore not linear.