Answer:
4x + 5y = 29
Step-by-step explanation:
The complete question is
Line p passes through the point (5, 1) and has a slope of -4/5.
What is the equation of line p in standard form?
step 1
Find the equation of the line in point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=-\frac{4}{5}[/tex]
[tex]point\ (5,1)[/tex]
substitute
[tex]y-5=-\frac{4}{5}(x-1)[/tex]
step 2
Convert to slope intercept form
isolate the variable y
[tex]y-5=-\frac{4}{5}x+\frac{4}{5}[/tex]
[tex]y=-\frac{4}{5}x+\frac{4}{5}+5[/tex]
[tex]y=-\frac{4}{5}x+\frac{29}{5}[/tex]
step 3
Convert to standard form
Multiply by 5 both sides
[tex]5y=-4x+29\\4x+5y=29[/tex]
