pl answer quick Hudson bought a plant and planted it in a pot near a window in his house. The initial height of the plant was 8 inches and it grew at a rate of 3 inches per month. Write an equation for H, H, in terms of t, t, representing the height, in inches, of the plant tt months after Hudson bought the plant.

H = 8 + 3t

Step-by-step explanation:

H = height

t = time in months

H = 8 + 3t

H is the height at and given time. 8 is the initial height and since it grows 3 in a month it would be 3 times how ever many months have passed.

For example after 6 months

t = 6

H = 8 + 3 (6)

H = 8 + 18

H = 26in

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

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 ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

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

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form