Question

Write a linear equation given the graph.

Answer 1

`y = -1x + 3`

Explanation:

Finding the y-intercept

The y-intercept is the point where the line crosses the y-axis. As we can see, there is a point at the y-axis. (0, 3) is our y-intercept.

Finding the slope

Using two points:

Formula:
`(y_2-y_1)/(x_2-x_1)`

The two points we see on the graph, we can use those points to find the slope.

(0, 3)

(4, -1)

Plug these points into the formula; solve:

`(-1-3)/(4-0)`

`=(-4)/(4)`

`=-1`

Therefore, m = -1, and b = 3. Hence, the equation for the graph is y = -1x + 3.