Question

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

Answer 1

ANSWER

The point $(\frac{2}{9},-7)$ lies on the straight line $y+7=-3(x-\frac{2}{9})$

EXPLANATION

The given line is $y+7=-3(x-\frac{2}{9})$. 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,

$y--7=-3(x-\frac{2}{9})$.

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,

$x_1=\frac{2}{9}$ and $y_1=-7$.

Hence the point, $(x_1,y_1)=(\frac{2}{9},-7)$ lies on $y+7=-3(x-\frac{2}{9})$