Question

NEED HELP! A line has a slope of 9/7 and a y-intercept of 1/3. Which of the following is an equation of the line?

A 27x - 21y = -7

B 27x + 21y = 1

C 9x + 7y = 3

D 7x - 9y = -3


Please show work so I could understand this!

Answer 1

A

Explanation:

Take a look at the slope-intercept form of the equation .

`y=mx+c`

Slope of 9/7 and y-intercept of 1/3 means replace m which is slope and c is the y-intercept which becomes

`y=(9)/(7)x+(1)/(3)`

now we take LCM of 7 and 3 which becomes

`y=(27x+7)/(21)`

and then,

`21y=27x+7`

so A is our Answer

if arrange the equation accordingly

`27x-21y=-7`