The problem asks us to find the equation of a line given its slope and y-intercept. The slope is given as $4$ and the y-intercept is given as $(0, 0)$. We need to write the equation in slope-intercept form.

AlgebraLinear EquationsSlope-Intercept Form
2025/3/6

1. Problem Description

The problem asks us to find the equation of a line given its slope and y-intercept. The slope is given as 44 and the y-intercept is given as (0,0)(0, 0). We need to write the equation in slope-intercept form.

2. Solution Steps

The slope-intercept form of a linear equation is given by:
y=mx+by = mx + b
where mm is the slope and bb is the y-intercept.
In this problem, we are given that the slope m=4m = 4 and the y-intercept is (0,0)(0, 0). This means that b=0b = 0.
Substituting these values into the slope-intercept form, we get:
y=4x+0y = 4x + 0
y=4xy = 4x

3. Final Answer

y=4xy = 4x

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