Given:
The line crosses the y-axis at the point: (0, 4)
Slope of the line = -2
Let's find an equation for the line.
Apply the slope-intercept form of a line:
y = mx + b
Where m is the slope and b is the y-intercept.
Here, the slope, m, is = -2.
The y-intercept is the point where the line crosses the y-axis.
Here, the point where the line crosses the y-axis is at (0, 4).
This means the y-intercept, b, is = 4
Hence, to write the equation of the line, substitute -2 for m, and substitute 4 for b in the equation (y = mx + b).
Thus, we have:
y = -2x + 4
Therefore, the equation for this line is:
y = -2x + 4
ANSWER:
B) y = -2x + 4