Chapter 8.8, Problem 47HP

To determine

Write linear equations using the slope intercept form.

Answer to Problem 47HP

The equations is $y=-3x-5$

Table is

$x$	$-2$	$-1$	$0$	$1$	$2$
$y$	$1$	$-2$	$-5$	$-8$	$-11$

Graph is,

  

Explanation of Solution

Given:

Concept Used:

The Slope-intercept:

  $y=mx+b$

Calculation:

$x$	$-2$	$-1$	$0$	$1$	$2$
$y$	$1$	$-2$	$-5$	$-8$	$-11$

By Taking two points from table to find the slope:

Slope $=\left(-2-1\right)/\left(-1-\left(-2\right)\right)$

Slope $=-3$

  $y-$ Intercept $=-5$

Equation is,

  $y=-3x-5$

Conclusion:

Hence, The equations is $y=-3x-5$

Table is

$x$	$-2$	$-1$	$0$	$1$	$2$
$y$	$1$	$-2$	$-5$	$-8$	$-11$

Graph is,