Answer:
The equation in point-slope is
Step-by-step explanation:
We need to write the point-slope form of the equation of the line passing through the point (6,-5) and perpendicular to the line
The general form of point-slope is;
where m is slope and is the point
We need to calculate slope.
We are given equation of line that is perpendicular to the required line.
The equation is given in slope-intercept form where m is slope.
Comparing both equations we get m= -1/3
But we know that when lines are perpendicular their slopes are opposite reciprocal of each other i.e
<em>So, </em><em>slope of required line is m = 3 </em><em>(opposite reciprocal of -1/3)</em>
Now, the equation in point-slope form having slope m=3 and point (6,-5) is
So, The equation in point-slope is