Question

HELP PLS GIVING BRAINLIEST

Answer 1

For this case we have by definition, that 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 cutoff point with the y axis

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

$(0,1)\\(1, -2)$

We found the slope:

$m = \frac {y2-y1} {x2-x1}\\m = \frac {-2-1} {1-0} = \frac {-3} {1} = - 3$

So, the equation is of the form:

$y = -3x + b$

We substitute a point to find "b":

$1 = -3 (0) + b\\1 = b$

Finally, the equation is:

$y = -3x+1$

Answer:

Option C