write the system of linear equations shown by the graph. use slope-intercept form.

Explanation:

Step1: Identify points for the first line

The first line passes through $(0, 5)$ and $(1, 9)$.

Step2: Calculate slope for the first line

$$m_1 = \frac{y_2 - y_1}{x_2 - x_1} = \frac{9 - 5}{1 - 0} = 4$$

Step3: Write equation for the first line

Using $y = mx + b$ with $b = 5$: $$y = 4x + 5$$

Step4: Identify points for the second line

The second line passes through $(0, -3)$ and $(1, -6)$.

Step5: Calculate slope for the second line

$$m_2 = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-6 - (-3)}{1 - 0} = -3$$

Step6: Write equation for the second line

Using $y = mx + b$ with $b = -3$: $$y = -3x - 3$$

Answer:

$y = 4x + 5$ $y = -3x - 3$