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:

$y = 3x-4$