Question

Which ordered pair is a solution of the equation?
Y-4=7(x-6)

Answer 1

(6,4)

Explanation:

The equation is in 'point-slope' form.

`y-y_1=m(x-x_1)\\\rule{150}{0.5}\\(x_1,y_1) \rightarrow \text{a point that's given}\\\\m \rightarrow \text{slope}`

This means we can identify the point that was used in the equation.

`y-\boxed{y_1} =m(x-\boxed{x_1}) | y-\boxed{4}=7(x-\boxed{6})\\\rule{210}{0.5}\\y_1 = 4\\\\x_1 =6\\\rule{210}{0.5}\\(x_1,y_1) \rightarrow \boxed{(6,4)}`

(6,4) would be a solution to the equation given.

Hope this helps.