Question

Please help me!!!!!!!!!!!!!!!!!

Answer 1

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

`y = mx + b`

Where:

m: It's the slope

b: It is the cut point with the y axis.

We look for two points through which the line passes to find the slope:

`(x1, y1) = (2,2)\\(x2, y2) = (0, -4)`

`m = \frac {y2-y1} {x2-x1} = \frac {-4-2} {0-2} = \frac {-6} {- 2} = 3`

So, the line is:

`y = 3x + b`

We have "b" replacing any of the points:

`-4 = 3 (0) + b\\-4 = b`

Finally, the equation is:

`y = 3x-4`

Answer:

`y = 3x-4`