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 [tex]y-y_1=m(x-x_1)[/tex], where [tex](x_1 , y_1)[/tex] 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!
