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? y = One-fifthx + 1 y = One-fifthx + 5 y = 5x + 1 y = 5x + 5

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

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shubhamchouhanvrVT shubhamchouhanvrVT · Answer 2 · 2025-03-27T13:59:29-04:00

The equation of the line is y = 5x + 1. The correct option is C.

What is the slope of the line?

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

The equation of line is given as

y = mx + c

Here, m is the slope of the line.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

The slope of the first line is given the two points. The slope is change in y over change in x,

0-1 over 5-0

Slope = -1/5

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

The slope of the new line is 5. It is given that the y-intercept with the first point so put these things together in the slope-intercept formula

Y=5x +1

Hence, the equation of the line is y = 5x + 1. The correct answer is option C.

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