Find a​ point-slope form for the line that satisfies the stated conditions. Slope 2​, passing through (-9,2)

Answer 1

I believe at this point you have been introduced to the cartesian coordinate (x,y)

Any line in that coordinate system can be modeled by the equation y=mx +b

The value m is the slope of the line the ratio between two coordinate points (x1,y1) and (x2,y2) or rise over run in the line. Found as (y2-y1)/(x2-x1). (This is an even deeper idea for the rate of change for any function.)

You can see this in general by creating two equations:

y2=mx2-b

y1=mx1+b

where for the line m and b are the same value in the set of equations

Then y2-y1 = (x2-x1)m where b-b is zero.

One can also solve for b, once m is found:

Rearranging b= y1-mx1

You are given (x1,y1) and m to put in the above equation to solve for the y-intercept (b)....the point on the y-axis where your line intersects that axis ( this is the value of y when x is zero).

Answer 2

y - y1= m (x-x1)

m = 2

(x1,y1) = (-9,2)

substituting x1, y1, and m in the equation:

y-2 = 2 (x+9)