Question
A line crosses the y-axis at (0,4) and has a slope of -2. Find an equation for this line.
A. y=2x+4
B. y= -2x+4
C. y=-2x -4
D y=-4x + 2
A. y=2x+4
B. y= -2x+4
C. y=-2x -4
D y=-4x + 2
Answers
GPT 3.5
The correct answer is B. y= -2x+4.
To find the equation of a line, we can use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
We are given that the line crosses the y-axis at (0,4), so the y-intercept is 4.
We are also given that the slope is -2.
Plugging these values into the slope-intercept form, we get y = -2x + 4.
To find the equation of a line, we can use the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
We are given that the line crosses the y-axis at (0,4), so the y-intercept is 4.
We are also given that the slope is -2.
Plugging these values into the slope-intercept form, we get y = -2x + 4.