Write an equation in Slope-Intercept form that represents a line that passes through the following points: (2, 4) and (5,-2). Show your work.

y = - 2x + 8

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 =

with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (5, - 2)

m = = = - 2, then

y = - 2x + c ← is the partial equation

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

Using (2,  4)

4 = - 4 + c ⇒ c = 4 + 4 = 8

y = - 2x + 8 ← equation of line

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: