a line has a slope of -2 and passes through the point (6, -16). write its equation in slope - intercept…

a line has a slope of -2 and passes through the point (6, -16). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

a line has a slope of -2 and passes through the point (6, -16). write its equation in slope - intercept form. write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer

Explanation:

Step1: Use the point - slope form

The point - slope form of a line is (y - y_1=m(x - x_1)), where (m) is the slope and ((x_1,y_1)) is a point on the line. Given (m=-2), (x_1 = 6), and (y_1=-16), we substitute these values into the formula: (y-(-16)=-2(x - 6)) (y + 16=-2x+12)

Step2: Convert to slope - intercept form

The slope - intercept form is (y=mx + b). We solve the equation (y + 16=-2x+12) for (y): Subtract 16 from both sides of the equation: (y=-2x+12-16) (y=-2x - 4)

Answer:

(y=-2x - 4)