Question

Write an equation for a line parallel to y=−4x+5 and passing through the point (4,-21)

Answer 1

Answer:

y = - 4x - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 5 is in this form with slope m = - 4

• Parallel lines have equal slopes, hence

y = - 4x + c ← is the partial equation of the parallel line

To find c substitute (4, - 21) into the partial equation

- 21 = - 16 + c ⇒ c = - 21 + 16 = - 5

y = - 4x - 5 ← equation of parallel line

Answer 2

Answer:

Y=-4x-5

Step-by-step explanation:

-21=-4(4)+b

-21=-16+b

b=-5

y=-4x-5