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

ANSWER

The required equation is

$y = \frac{1}{2}x$

EXPLANATION

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

$y = mx$

The slope of the given line is

$m = \frac{1}{2}$

We substitute the slope into the equation to get;

$y = \frac{1}{2} x$

Answer 2

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.

Step-by-step 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.