Problem

Write an equation in slope-intercept form of the line that passes through the point $(0,4)$ with slope 2 . A. $y-4=2 x$ B. $y=4+2(x+1)$ c. $y=2 x+4$ D. $2 x-y+4=0$

Solution

Step 1 :The slope-intercept form of a line is given by \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Step 2 :In this case, we are given that the line passes through the point \((0,4)\), which means that the y-intercept is 4.

Step 3 :We are also given that the slope of the line is 2.

Step 4 :Therefore, the equation of the line in slope-intercept form is \(y = 2x + 4\).

Step 5 :Final Answer: The equation of the line in slope-intercept form that passes through the point \((0,4)\) with slope 2 is \(\boxed{y = 2x + 4}\).

From Solvely APP
Source: https://solvelyapp.com/problems/38231/

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