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What is the equation in slope intercept form of the line whose graph passes through the origin and has a slope of 1/2

User Ari Gold
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2 Answers

6 votes

Answer:

y = 1/2x is the equation in slope intercept form of the line whose graph passes through the origin and has a slope of 1/2.

Explanation:

We have given the slope and a point.

slope = m = 1/2 and (0,0)

We have to find the slope-intercept form of the equation of line.

y = mx+c is slope-intercept form of the line where m is slope and c is y-intercept.

hence, y-intercept is 0.

c = 0

Putting values of slope and y-intercept , we have

y = (1/2)x+0

y = 1/2x is the equation in slope intercept form of the line whose graph passes through the origin and has a slope of 1/2.

User Francesco Verheye
by
7.7k points
5 votes

ANSWER

The required equation is


y = (1)/(2)x

EXPLANATION

The equation of a graph that passes through the origin is given by;


y = mx

The slope of the given line is


m = (1)/(2)

We substitute the slope into the equation to get;


y = (1)/(2) x

User Nathan Werth
by
8.6k points

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