Question

find an equation for the line below.

Explanation:

Step1: Identify two points

Let's assume the two visible points are $(- 5,0)$ and $(0,5)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $x_1=-5,y_1 = 0,x_2 = 0,y_2=5$ gives $m=\frac{5 - 0}{0-(-5)}=\frac{5}{5}=1$.

Step3: Use the slope - intercept form $y=mx + b$

The slope - intercept form of a line is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept. We know $m = 1$, and from the point $(0,5)$ the y - intercept $b = 5$.

Step4: Write the equation

Substituting $m = 1$ and $b = 5$ into $y=mx + b$, we get $y=x + 5$.

Answer:

$y=x + 5$