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The point-slope form is y-y_1=m(x-x_1).
y-3=1/4(x-4)
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.
Substitute ( - 4,1) & ( 4,3)
Subtract term
a-(- b)=a+b
Add terms
a/b=.a /2./.b /2.
Now that we know the slope of the line is 14, 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, 3).
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!
LHS+3=RHS+3
Add terms
Distribute 1/4
a/A* A = a
Add terms