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?

First find slope of first line given the two points

Slope is change in y over change in x

0-1 over 5-0

Slope = -1/5

Slope of the line perpendicular to this line has a slope that is the negative reciprocal.

Slope of the new line is 5

You are given the y intercept with the first point so put these things together in the slope intercept formula

Y=5x +1

Step-by-step explanation:

4

step-by-step explanation:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.