Question

1. The graph of linear function k is shown on the coordinate grid.
Which equation best represents the graph?

Answer 1

Answer:

$y = \frac{4}{3}x + 4$

Step-by-step explanation:

The equation of the function can be written in the slope-intercept form which is, y = mx + b.

Let's find slope, m, and y-intercept, b, of the graph, then substitute their values into y = mx + b to get the equation for the linear equation k, represented in the graph.

Find slope, m, using points (0, 4) and (-3, 0):

$m = \frac{y_2 - y_1}{x_2 -x_1} = \frac{0 - 4}{-3 - 0} = \frac{-4}{-3} = \frac{4}{3}$

y-intercept, b, is where the line cuts across the y-axis. Therefore, b = 4.

Substitute m = ⁴/3, and b = 4 into $y = mx + b$.

$y = \frac{4}{3}x + 4$.

The equation that best represents the graph is $y = \frac{4}{3}x + 4$.