Question

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

and has a y-intercept of 2​

Answer 1

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