A line has a slope of -3 and a y-intercept of 5. Write the equation of the line in slope-intercept form and explain how you would use the slope and y-intercept to graph the equation.
The equation of the line in slope-intercept form is y = -3x + 5.
To graph this equation, you would start by plotting the y-intercept, which is the point (0, 5). This is where the line crosses the y-axis.
Then, you would use the slope of -3 to find another point on the line. The slope tells you that for every 1 unit move to the right, you must move 3 units down (since the slope is negative). So from the y-intercept (0, 5), you would move 1 unit to the right and 3 units down to get the point (1, 2).
You can continue this process to find more points on the line, or you can use the slope to find points in the opposite direction as well. Once you have a few points plotted, you can draw a straight line through them to represent the graph of the equation y = -3x + 5.