Question

Which equation represents the line parallel to the given line, −4x+10=y , through the point (−8, 10) in slope-intercept form? Responses y=−4x−42 y is equal to negative 4 x minus 42 y=−4x−22 y is equal to negative 4 x minus 22 y=−4x+18 y is equal to negative 4 x plus 18 y=−4x+32

Answer 1

Answer:

-4(-8) - 10 = 32 - 10 = 22

-4x - y = 22

4x + y = -22

Answer 2

Answer:

y = - 4x - 22

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 )

given the line with equation

- 4x + 10 = y , that is

y = - 4x + 10 ← in slope- intercept form

with slope m = - 4

• Parallel lines have equal slopes , then

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

to find c, substitute (- 8, 10 ) for x and y in the partial equation

10 = - 4(- 8) + c = 32 + c ( subtract 32 from both sides )

- 22 = c

y = - 4x - 22 ← equation of parallel line