Question

A line with a slope of 2 passes through (3,9) Which choice is an equation of this line?

Answer 1

ANSWER
$y - 9 =2(x - 3)$
l

Or

$2x - y + 3 = 0$
Or

$y = 2x + 3$



EXPLANATION

The given line has slope,

$m = 2$

and

$(3,9)$

We can find the equation in the point slope form, which is given by,

$y-y_1=m(x-x_1)$


We substitute the point and slope to get,

$y - 9 =2(x - 3)$


We can also simplify further to get,

$y - 9 = 2x - 6$

We make y the subject to get,

$y = 2x - 6 + 9$

$y = 2x + 3$

This is called the slope intercept form.


We could also write in standard form to get

$2x - y + 3 = 0$
Or

$2x - y = - 3$

Answer 2

Y-y1=m(x-x1)
y-9=2(x-3) you can use this since its in point-intercept form or continue
y-9=2x-6 then add 9 to each side
y=2x+3 
Hope this helps and is Correct!