Chapter 8, Problem 8STP

To determine

To find: the equation of the line

Answer to Problem 8STP

The correct option is H

Explanation of Solution

Given:

  

F $y=x+2$

G $y=x-2$

H $y=-x+2$

J $y=-x-2$

Calculation:

The graph shows that the y intercept is 2. So, from the point $\left(0,2\right)$ move 2 units up and 2 units left to get another point on the line.

So, the slope is $-\frac{2}{2}=-1$

The general form of equation of line in slope intercept form is:

  $y=mx+b$

Here, m represents slope intercept and b stands for y intercept.

So, put the value of $m=-1$ and $b=2$ in $y=mx+2$

Therefore, the equation of the line in slope intercept form is $y=-x+2$

Conclusion:

Hence, the correct option is H