Question

Rewrite y - 3 = -9(x - 1) in standard form.

Answer 1

Answer:

9x + y = 12

Step-by-step explanation:

Hi there!

We are given the equation y - 3 = -9(x-1) and we want to write it in standard form

The equation is currently in point-slope form, which is $y-y_1=m(x-x_1)$, where $(x_1 , y_1)$ is a point and m is the slope. Standard form is ax + by = c, where a, b, and c are free integer coefficients

We can first convert the equation from point-slope form into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We can distribute 9 to every term on the right side:

y - 3 = -9x + 9

Now add 3 to both sides

y = -9x + 12

Now the equation is in slope-intercept form (y=mx+b). To make it standard form, add 9x to both sides, to make the form ax + by = c .

9x + y = 12

Hope this helps!

Answer 2

The answer would be
9x + y = 12