Slope intercept of (2,-12) and (5,6)

y = 6x - 24

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 )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (2, - 12 ) and (x₂, y₂ ) = (5, 6 )

m = = = 6

y = 6x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (5, 6 ), then

6 = 30 + c ⇒ c = 6 - 30 = - 24

y = 6x - 24 ← equation in slope-intercept form

3x + 4y -25 =0 represents the amount of change sianna should recieve