The equation of line that passes through the point(5,-3) and is parallel to the line 4x-5y=45 is: 
Step-by-step explanation:
Given equation is:

First of all we have to convert the equation in slope-intercept form
So,

Let m1 be the slope of given line and m2 be the slope of required line
The coefficient of x is the slope of the line, so
m1 = 4/5
As the required line is parallel to given line, both will have equal slopes
m2 = 4/5
Slope-intercept form is:

Putting the value of m2

Putting the point (5,-3) in the equation

Putting the value of b

Hence,
The equation of line that passes through the point(5,-3) and is parallel to the line 4x-5y=45 is: 
Keywords: Slope, equation of line
Learn more about equation of line at:
#LearnwithBrainly