Question

Enter an equation in the form y=mx+b that represents the function described by the graph ​

Answer 1

`y = -\frac {3}{2} x`

Explanation:

Thankfully this passes through the origin so we already know the y = mx + b resultingly has no y-intercept, so we only need to find slope as b is 0 and thus is redundant to say y = mx + 0.

Now all that's left to find is slope which is how much it rises by and how much it runs by. putting it in as rise over run

Using two points that are on the grid, which are given to us, (0, 0) and (-2, -3)

The rise, change in y, is a decrease of 3 units, written as -3

The run, change in x, is a change of 2 units, written as 2

Therefore

m = Slope = rise/run = -3/2

Because it intercepts the y axis (0, #) at 0 (0, 0) the origin meaning we dont write it in your slope-intercept formula, y = mx + b, is as follows

y = (-3/2)x

Hope this helps.