Answer:
y = x - 8
Step-by-step explanation:
The equation of the straight line which is perpendicular to the straight line y = -x -3, will be y = x + c' ....... (1), where c' is a constant.
{This is because the product of the slopes of two mutually perpendicular straight line is -1}
Now, (3,-5) point satisfies equation (1).
Hence, -5 = 3 +c', ⇒c' = -8.
Therefore, the equation of the required straight line in slope-intercept form is y = x - 8 (Answer)
{Note: The slope-intercept form of a straight line is y = mx + c, where m is the slope of the line i.e. tanФ, and c is the length of y-axis intercept.}
