Question

Write the equation of line in slope-intercept form, which is parallel to y=−2x+5 and passing through the point (1, −4).

Answer 1

Answer: y= -2x -2

Explanation:

1) Create an equation going through (1,-4)

Replace 5 with b otherwise, we can't find an equation that goes through it.

y = -2x + b

2) Substitute y and x with the point. Solve.

-4 = -2(1) + b

-4 = -2 + b

-2 = b

3) Reput in the equation

y= -2x -2

Note: It is parallel because they have the same slope!