Question

20. What is the slope-intercept form of the equation of the line with a slope of 1/4 and y-intercept at the origin? ​

Answer 1

The slope-intercept form of the equation of the line with a slope of 1/4 and y-intercept at the origin:

`y=(1)/(4)x`

Explanation:

Given

• The slope = m = 1/4

• The y-intercept is (0, 0)

We know that the slope-intercept form of the line equation is

`y=mx+b`

where m is the slope and b is the y-intercept.

substituting the values m=1/4 and the y-intercept b=0 to determine the equation in slope-intercept form

`y=mx+b`

`y=(1)/(4)x+0`

`y=(1)/(4)x`

Thus, the slope-intercept form of the equation of the line with a slope of 1/4 and y-intercept at the origin:

`y=(1)/(4)x`