Question

Slope is 3/7,and (4,9) is on the line

Answer 1

`y-9=(3)/(7)(x-4)`

or

`y=(3)/(7)x+(51)/(7)`

Explanation:

To write the equation of the line using a slope and a point, use the point-slope formula
`y-y_1 = m(x-x_1)`. Here m is 3/7. And the point
`(x_1,y_1)` is (4,9). Substitute the values and simplify.

`y-y_1=m(x-x_1)\\y-9=(3)/(7)(x-4)\\y-9=(3)/(7)x - (12)/(7)\\y=(3)/(7)x -(12)/(7) + 9\\y=(3)/(7)x + (51)/(7)`

Both the point slope form and the final simplified form are considered equations of the line.