Equations in point-slope form follow a specific format.
y- y_1= m(x- x_1)
In this form, m is the slope of the line and ( x_1, y_1) is a point on the line. Here we are given that the line passes through two known points.
(- 4,2) and (6, - 3)
To determine the slope of the line, we use the Slope Formula.
Now that we know the slope of the line is - 12, we can write the equation of the line in point-slope form. We can use either of the given points as (x_1,y_1) in our equation. Let's use ( - 4, 2).
Since any point on the line could be used to form a point-slope equation, there are infinitely many possible equations. To write a unique equation for this line, we will rewrite it in slope-intercept form.
Please note that any point on the line can be used to form a point-slope equation. Therefore, our equation is only one of infinitely many possible equations!
