Find the equation of the line parallel to y = x - 3 that also intersects the point (3,-2).
y = [?]x + [ ]

The equation of the line is

Explanation:

Given that the equation of the line parallel to the line is

Slope:

Since, the given equation is of the form

Comparing the equations, the slope of the equation is given by

Thus, the slope is

Equation of the line:

The equation of the line can be determined using the formula,

Thus, substituting the point (3,-2) and the slope in the formula, we get,

Simplifying, we get,

Hence, the equation of the line is

x² + 11x + 18 < 0  

[-11 ± sqrt(121 - 72)]/2 = (-11 ± 7)/2  

solution: (-9, -2)

step-by-step explanation: