The long family spent $38.62 for school supplies and $215.78 for new school clothes. they paid sales tax on their purchases. if the long family paid $269.07 total, determine if they paid the correct amount.
a. the long family paid $2.63 too little for their purchases.
b. the long family paid the correct amount for their purchases.
c. the long family paid $1.61 too much for their purchases.
d. the long family paid $2.63 too much for their purchases.

ab will be equal to

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

5/20 so 25%

step-by-step explanation: