Write the equation of this line in slope-intercept form

y = - x + 4

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 )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (5, 2) ← 2 points on the line

m = = = -

Note the line crosses the y- axis at (0, 4) ⇒ c = 4

y = - x + 4 ← equation of line

y = -2/5 +4

Step-by-step explanation:

points are :

(0 , 4 ) and ( 5,2)

midpoint = (0 + 5 )/2  and ( 4 + 2 )/2

= (2.5 , 3 )

the gradient = (2 - 4 )/ ( 5 - 0)

= -2/5

now create the equation using both gradient and midpoint

Y - y1 = m (X - x1)

y-3 = -2/5 (x - 2.5)

y = -2/5 x +1 +3

y = -2/5 +4