A football coach wants to spread grass seed over the football field. • The football field is 110 yards by 53 yards.
• One bag of grass seed will cover 0.25 of an acre.
• 1 acre = 4.840 yd?
How many bags of grass seed does the coach need to buy to cover the entire field?

A 3 bags
B 4 bags
C 5 bags
D 6 bags

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

x = 3 ± √(5+y)

the graph line crosses the x axis at both -6 and -2, so the answer would be the second one.