Question

write the equation of the line in fully simplified slope-intercept form.
answer attempt 1 out of 2
answer:

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((0, -3)\) (the y-intercept) and \((3, 1)\).

Step2: Calculate the slope (\(m\))

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Using the points \((0, -3)\) and \((3, 1)\), we have:
\(m = \frac{1 - (-3)}{3 - 0} = \frac{4}{3}\)

Step3: Write the equation in slope-intercept form (\(y = mx + b\))

We know the slope \(m = \frac{4}{3}\) and the y-intercept \(b = -3\) (from the point \((0, -3)\)). Substituting these values into the slope-intercept form, we get:
\(y = \frac{4}{3}x - 3\)

Answer:

\(y = \frac{4}{3}x - 3\)