Answer:
k = - 2j + 28
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 = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (14, 0 ) and (x₂, y₂ ) = (0, 28 ) ← 2 points on the line
m = [tex]\frac{28-0}{0-14}[/tex] = [tex]\frac{28}{-14}[/tex] = - 2
The line crosses the y- axis at (0, 28 ) ⇒ c = 28
In this graph the y- axis is the k- axis and the x- axis the j- axis , then
k = - 2j + 28 ← equation of line
