Find the slope-intercept equation of the line that has the given characteristics.
Slope negative 4 and y-intercept (0,8)
The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.
The slope is given as -4, so we can substitute -4 for m in the equation: y = -4x + b.
The y-intercept is given as (0,8), which means that when x = 0, y = 8. Substituting these values into the equation, we get:
8 = -4(0) + b
8 = b
Therefore, the y-intercept is 8.
The equation of the line with the given characteristics is:
y = -4x + 8