Aline passes through (-2,-3) and is perpendicular to the line -9x+15y=4. find it’s x-intercept and y-intercept.

x-intercept and y-intercept of the given line is   and

Solution:

The equation of the line is

Simplifying this we get,

The slope of the line is (9/15), so the slope of the line perpendicular to this will be

Let us assume that the y intercept is b, so the equation is

Now, as that line passes through (-2,-3), hence using this point we get,

So the equation will be,  

Now to find x intercept y =0, Hence,

To find y intercept x = 0, Hence,

So, x intercept is and y intercept is

step-by-step explanation: