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