Question

what is an equation of the line that is parallel to y equals negative 4x - 5 and passes through the point -2, 6

Answer 1

y = - 4x - 2

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

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

To find c substitute (- 2, 6 ) into the partial equation

6 = 8 + c ⇒ c = 6 - 8 = - 2

y = - 4x - 2 ← equation of parallel line