On a coordinate plane, a line goes through (0, 1) and (5, 0). What is the equation of the line that is perpendicular to and has the same y-intercept as the given line

Slope of given line = [ 0-1] / [ 5 - 0 ] = -1/5

And because (0, 1) is on this line, the y intercept = 1

The slope of the perpedicular line is 5

So

The equation of this line is

y = 5x + 1

Here's a graph of both lines :

https://www.desmos.com/calculator/64jk49lpwh