Question

Which statement is true about the line represented on the equation y + 7 = -3 (x - 2/9) ?

Answer 1

The point
`((2)/(9),-7)` lies on the straight line
`y+7=-3(x-(2)/(9))`

Step-by-step explanation

The given line is
`y+7=-3(x-(2)/(9))`. It can be observed that the given straight line is in the point-slope form.

We can rewrite the equation in the point-slope form to obtain,

`y--7=-3(x-(2)/(9))`.

When we compare this to the general point-slope form, which given by the formula;

`y-y_1=m(x-x_1)`,

We can observe that,

`x_1=(2)/(9)` and
`y_1=-7`.

Hence the point,
`(x_1,y_1)=((2)/(9),-7)` lies on
`y+7=-3(x-(2)/(9))`