Exercise 61 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= 3/4ax+3In the slope-intercept form, m represents the slope. Note that the given line is written in this form. Therefore, its slope is 34a. Since we want the slope to be 916, we can set up an equation. 3/4a= 9/16 Let's now use inverse operations and Properties of Equality to to isolate a.

3/4a=9/16

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Solve for a

MultEqn

LHS * 4/3=RHS* 4/3

a=9/16 ( 4/3 )

MultFrac

Multiply fractions

a=36/48

ReduceFrac

a/b=.a /12./.b /12.

a=3/4