Write the standard form of the equation of the line through the given point with the given slope through: (1,2), slope =7, 50 points

7 x − 1 y = 5

Explanation:

First, we can write the equation in point-slope form. The point-slope formula states:  

( y − y 1 ) = m ( x − x 1 )

Where  

m  is the slope and  ( x 1  y 1 )

is a point the line passes through.

Substituting the values from the problem gives:

( y − 2 ) = 7 ( x − 1 )

Now, we need to convert to standard form. The standard form of a linear equation is:  

A x + B y = C

where, if at all possible,  A ,  B , and  C  are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

We convert as follows:

y − 2 = ( 7 × x ) − ( 7 × 1 )

y − 2 = 7 x − 7

− 7 x + y − 2 + 2 = − 7 x + 7 x − 7 + 2

− 7 x + y − 0 = 0 − 5

− 7 x + y = − 5

− 1 ( − 7 x + y ) = − 1 × − 5

( − 1 × − 7 x ) + ( − 1 × y ) = 5

7 x − 1 y = 5

560

hope this : )

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.