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.
(- 4,1) and (4,3)
To determine the slope of the line, we use the Slope Formula.
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!
Extra
Slope-intercept form
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 can rewrite it in slope-intercept form.
