Line ab passes through points a(-6,6) and b(12, 3) if the equation of the line is written in slope-intercept form, y then m1 and b mx+ b, then m=-1/6 and b =?

The value of b is 5.

Step-by-step explanation:

Given: Line AB passes through points A(-6,6) and B(12,3).

Slope- intercept form:-The equation of a line with slope m and making an intercept b on y -axis is y = mx + b.

Since the line passes through two points therefore, we can use the Two Point Form formula:

; where m is the slope.

or Slope

First find the value of m using the points A(-6,6) and B(12,3) ;

Now, the equation of line AB :-

or

or

 or

Simplify:

Comparing above equation with the general equation of line i.e, y = mx+b , we get;

and b= 5

Therefore, the value y-intercept (b) = 5

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step-by-step explanation: