Answer:
y=4/5x
Explanation:
hi there!
We're given a point (5,4) and a slope of 4/5
typically, lines are written in the form y=mx+b, where m is the slope and b is the y intercept
as stated above, we were given the slope of 4/5
substitute 4/5 as m
here's our equation so far:
y=4/5x+b
now we need to solve for b
because the line will pass through the point (5,4), we can use it to solve for b
substitute 5 as x and 4 as y into the equation
4=4/5(5)+b
multiply
4=4+b
subtract 4 from both sides
0=b
therefore the equation of the line is:
y=4/5x
Hope this helps!