3. What is the equation in slope-intercept form for the line parallel to y = -8x - 2 that contains J(-9, 1)

y= -8x -71

Step-by-step explanation:

slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

Given line: y= -8x -2

Slope= -8

Parallel lines have the same slope. Thus, the slope of the unknown line is -8.

Substitute m= -8 into the equation:

y= -8x +c

To find the value of c, substitute a pair of coordinates.

When x= -9, y= 1,

1= -8(-9) +c

1= 72 +c

c= 1 -72

c= -71

Thus, the equation of the line is y= -8x -71.

The piece-wise function that models the fare in terms of the distance is:

------------------------------------

A piece-wise function is a function defined by parts, that is, a function that has different definitions depending on the input value.For the first 4 kilometres, the fare has a constant price of 9 pesos, thus, the definition of the function is:

Each additional kilometre after 4 kilometres is quantified by d - 4, price of 0.75 pesos for each of them, plus the 9 pesos of the first four kilometres, thus, for distances more than 4 kilometres, the definition is:

Combining the two definitions, the piece-wise function is:

A similar problem is given at link