Question

1. the graph of a linear function is shown on the grid. write the equation that is best represented by the graph.

slope-intercept form point-slope form standard form

Explanation:

Identify key points on the graph

$$
LATEXBLOCK0
$$

Calculate the slope

$$ m = \frac{2 - 0}{0 - (-3)} = \frac{2}{3} $$

Write the linear equations in different forms

$$
LATEXBLOCK1
$$

Answer:

• Slope-intercept form: \(y = \frac{2}{3}x + 2\)
• Point-slope form: \(y - 2 = \frac{2}{3}x\) (or \(y = \frac{2}{3}(x + 3)\))
• Standard form: \(2x - 3y = -6\)