Brian received 45 trading card from his mother and twenty-five trading cards from his uncle to start a collection. Each week Brian uses his allowance to buy a new pack of 15 trading cards to add to his collection. write a equation in slope intercept form to represent the situation. Use x for the independent variable and y for the dependent variable. Identify what both variables represent.

The representation of Brian's situation in slope intercept form is:

                               y= 15x +70

Step-by-step explanation:

Let x be the number of weeks Brian started his collection.

y be the number of cards Brian has at present.

                          y= 45+25+ 15 x

                    or, y= 15 x +70

which is in the form of,

                               y= mx +c                (slope intercept form)

where,

m= slope

x= x- intercept

c= constant.

you would have to sell 24 bracelets.

step-by-step explanation:

84/3.5 = 24

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