Chapter 8.7, Problem 40HP

To determine

To find who is finding the slope and y-intercept correctly and explain your reasoning.

Answer to Problem 40HP

Francesco has found the slope and y-intercept correctly

Explanation of Solution

Given information: M and F are finding the slope and y-intercept of line $x-2y=3$

  

Formula Used:

Slope intercept form of line is $y=mx+c$ , where

  $m=$ Slope of graph of equation

  $c=$ y-intercept of graph of equation

Calculation:

Equation is given as

  $x-2y=3$

Rewriting the equation as below:

  $\begin{array}{l}x-2y=3\\ 2y=x-3\\ y=\frac{1}{2}x-\frac{3}{2}\end{array}$

Comparing the above equation to slope intercept form of line $y=mx+c$ ,

  $\begin{array}{l}m=\frac{1}{2}\\ c=-\frac{3}{2}\end{array}$

Now, Maricruz and Franceso are finding the slope and y-intercept as below:

  

Francesco has found the slope and y-intercept correctly, because he has first converted the equation of line into slope-intercept form.

Conclusion:

Hence, Francesco has found the slope and y-intercept correctly