Chapter 5.3, Problem 61PPE

To determine

Value of a such that the equation $y=\frac{3}{4}ax+3$ has slope $m=\frac{9}{16}$ .

Answer to Problem 61PPE

The value ofa should be $a=\frac{3}{4}$

Explanation of Solution

Given:

The given equation is, $y=\frac{3}{4}ax+3$

And the slope is, $m=\frac{9}{16}$

From the equation $y=\frac{3}{4}ax+3$

On comparing with standard equation of line $y=mx+c$

Here,

  $\begin{array}{l}m=\frac{3}{4}a\\ \Rightarrow \frac{9}{16}=\frac{3}{4}a\\ \Rightarrow a=\frac{3}{4}\end{array}$

So,

The value of a should be $a=\frac{3}{4}$