Questions: Write the equation of the line in fully simplified slope-intercept form.

Solution Steps

From the graph, we can identify two points on the line. Let's choose the points (-10, 0) and (0, -5).

The slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Using the points (-10, 0) and (0, -5): \[ m = \frac{-5 - 0}{0 - (-10)} = \frac{-5}{10} = -\frac{1}{2} \]

The slope-intercept form of a line is: \[ y = mx + b \]

We already have \( m = -\frac{1}{2} \). Now we need to find the y-intercept \( b \). We can use one of the points, say (0, -5), to find \( b \).

Using the point (0, -5): \[ y = mx + b \] \[ -5 = -\frac{1}{2}(0) + b \] \[ b = -5 \]

Final Answer