Question

Find the equation of a line that is parallel to y= 4-x and cuts the Y axis at (0,1)

Answer 1

y = - x + 1

Explanation:

The equation of a line in slope- intercept form is

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

y = 4 - x , that is y = - x + 4 ← in slope- intercept form

with slope m = - 1

The slope crosses the y- axis at (0, 1 ) ⇒ c = 1

y = - x + 1 ← equation of parallel line

Answer 2

y=-x+1

Explanation:

y=-x+4

Substitute (0,1)

1=0+1

-1 is the gradient, if parallel then the gradient stays the same