Question

write an equation of the line. 25. 26. 27.

Explanation:

Step1: Find slope using two - points

Let's assume two points on the line. For simplicity, for a line in the form $y = mx + b$ (slope - intercept form), the slope $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Find y - intercept

After getting the slope $m$, we can substitute one of the points $(x,y)$ into the equation $y=mx + b$ and solve for $b$.

Step3: Write the equation

Once we have $m$ and $b$, we write the equation of the line as $y = mx + b$.

Since no specific points are given from the image (the image is not clear enough to precisely pick points), we'll use a general approach. If we assume two points $(x_1,y_1)$ and $(x_2,y_2)$ on the line:
The slope $m=\frac{y_2 - y_1}{x_2 - x_1}$. Then, substituting $(x_1,y_1)$ into $y=mx + b$ gives $y_1=m x_1 + b$, and we can solve for $b$: $b=y_1 - mx_1$.

Answer:

The equation of the line is $y = mx + b$, where $m=\frac{y_2 - y_1}{x_2 - x_1}$ and $b=y_1 - mx_1$ for two points $(x_1,y_1)$ and $(x_2,y_2)$ on the line.