Question

Write an equation for the line shown in the graph.

Answer 1

Answer: y=-x+10

Explanation:

In this graph, we can see 2 distinct points on the line. They are (2,8) and (4,6). To find the equation, we want to use the slope formula to find the slope.

`m=(y_2-y_1)/(x_2-x_1) =(8-6)/(2-4) =(2)/(-2) =-1`

Now with the slope, let’s find the y-intercept. The y-intercept can be found on the y-axis. Looking back to the graph, the y-axis is 10. The final equation is y=-x+10.