What would the answers to these be?

The first equation, 8x - 9y = - 23

Obtain the equation 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 ) = ( , 3) and (x₂, y₂ ) = (- 4, - 1 )

m = = (- 4)/- =

partial equation is y = x + c

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

using (- 4, - 1 ), then

- 1 = - + c ⇒ c =

y = x + ← in slope- intercept form

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

rearrange the slope- intercept equation into this form

multiply through by 9

9y =  8x + 23 ( subtract 9y and 23 from both sides )

8x - 9y = - 23 in standard form

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.