Chapter 4.2, Problem 36E

To determine

To describe: two ways to graph the equation

Answer to Problem 36E

The two ways graph equation was drawn.

Explanation of Solution

Given:

  $y-1=\frac{3}{2}\left(x-4\right)$

Calculation:

Consider the point $\left(12,-5\right)$ and the slope is $\frac{2}{5}$

One way to represent the function is to write the equation

So, use the slope-point form

  $y-y_1=m\left(x-x_1\right)$

Now, put value $x=12$ , $y=-5$ and $m=\frac{2}{5}$ in the equation

  $y+5=\frac{2}{5}\left(x-12\right)$

Multiply by 5 on both sides

  $5y+\text{2}5=2x-24$

Subtract by 25 on both sides

  $5y=2x-49$

Therefore, the equation for function is $5y=2x-49$

Second way to represent the function is draw the graph.

Put the different values for x in the equation and finds the corresponding value for the variable y . So, the find the data set for the equation and make the table

x	0	1	2	3	4
y	-9.8	-9.4	-9	-8.6	-8.2

Now, draw the graph using data set

  

Conclusion:

Therefore, the two ways graph equation was drawn.