Final answer:
The equation for a line with a slope of 6 and a y-intercept of -4 is y = 6x - 4.
Step-by-step explanation:
The student is asking for the equation of a straight line given a slope of 6 and a y-intercept of -4. In algebra, the equation of a straight line is commonly expressed in slope-intercept form, which is:
y = mx + b
Where m is the slope and b is the y-intercept. For the given problem, substituting the values of the slope and y-intercept into the equation, we get:
y = 6x - 4
This equation represents a straight line with a slope that indicates for every unit increase in the x-value, the y-value increases by 6, and when x is zero, y will be -4, which is the point where the line crosses the y-axis.