2. Write an equation in standard form of the line that passes through (7,-3)

and has a y-intercept of 2

Step-by-step explanation:

the standard form is : ax+by = c

this line passes through (7,-3) : when x=7 and y = - 3 means : 7a-3b = c

has a y-intercept of 2 : when x = 0 and y = 2 means : 2b = c

you have the system : 7a-3b = c ... (1)

2b = c ... (2)

let : c = 2

so b = 1 7a - 3 = 2

7a = 5 a = 5/7

5/7 x + y = 2

5x + 7y = 14 ... an equation in standard form