Final answer:
The equation -6x+y=2 can be written in slope-intercept form as y=6x+2. The slope of the line is 6 and the y-intercept is 2. The line can be graphed by plotting the y-intercept and using the slope to find other points.
Step-by-step explanation:
The equation -6x+y=2 can be written in slope-intercept form as y=6x+2. In slope-intercept form, the equation is y = mx + b, where m represents the slope and b represents the y-intercept.
In this equation, the slope is 6 and the y-intercept is 2. The slope indicates the steepness of the line and the y-intercept represents the point where the line intersects the y-axis.
To graph the line, plot the y-intercept at (0, 2), and then use the slope to find other points by moving up 6 units and right 1 unit from the y-intercept.
Learn more about Equation in slope-intercept form