the equation of a line is y = -2x - 4. what is the y-intercept
The y-intercept is the value of y when x = 0. In the given equation, when x = 0:
y = -2(0) - 4
y = -4
Therefore, the y-intercept is -4.
The y-intercept of a line is the point where the line crosses the y-axis. In the equation y = -2x - 4, the y-intercept can be obtained by setting x = 0.
Substituting x = 0 into the equation, we get:
y = -2(0) - 4
y = 0 - 4
y = -4
Therefore, the y-intercept of the line y = -2x - 4 is -4.
To find the y-intercept of the line given by the equation y = -2x - 4, we can recall that the y-intercept is the point where the line intersects the y-axis. In other words, it is the value of y when x is zero.
By substituting x = 0 into the equation y = -2x - 4, we can determine the value of y.
y = -2(0) - 4
y = 0 - 4
y = -4
Therefore, the y-intercept of the line y = -2x - 4 is -4.