Question

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

Answer 1

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.

Answer 2

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`