Exercise 60 Page 313

Let's consider the slope-intercept form of a line, and the given line. Slope-Intercept Form:& y= m x+b Given line:& y= - 1/2ax-5In the slope-intercept form, m represents the slope. Note that the given line is written in this form. Therefore, its slope is - 12a. Since we want the slope to be 52, we can set up an equation. - 1/2a= 5/2 Let's now use inverse operations and Properties of Equality to to isolate a.

-1/2a=5/2

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Solve for a

MoveNegFracToNum

Put minus sign in numerator

- 1/2a=5/2

MultEqn

LHS * 2=RHS* 2

- a=5

MultEqn

LHS * (- 1)=RHS* (- 1)

a=- 5