Question

Write an equation for the graph below in terms of x

Answer 1

Y = X - 3

Explanation:

Slope = 1 (pick any two points: (0,-3) and (0,3). Go up 3 from (0,-3) and to the right to the next point. 3 up/3 right = slope 1)

Point (3,0)

y-y = m(x-x)

y - 0 = 1 (x - 3)

y = x - 3

Answer 2

y = x - 3

Explanation:

The equation of the line is written as y = kx + b

b can be found from the graph, this will be the point where the graph (line) crosses the 0y axis (in this case -3)

Then we still have to find k (k will be positive because we can see from the graph that it is increasing)

We need to form a right triangle, the lengths of the sides of which are x=3 and y=3 (I added a photo of the triangle below)

`k = (x)/(y)`

Now put the numbers into the formula and calculate k:

`k = (3)/(3) = 1`

And finally, we can write the equation of the line:

y = x - 3 (k = 1, b = -3)