Question

1. The graph of linear function k is shown on the coordinate grid.

Which equation best represents the graph?

Answer 1

`y = (4)/(3)x + 4`

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 = (y_2 - y_1)/(x_2 -x_1) = (0 - 4)/(-3 - 0) = (-4)/(-3) = (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 = (4)/(3)x + 4`.

The equation that best represents the graph is
`y = (4)/(3)x + 4`.