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. Explain your answer.
The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Given that the slope is -3 and the y-intercept is 5, the equation of the line can be written as y = -3x + 5.
To graph the line using the slope and y-intercept, start by plotting the y-intercept (0, 5) on the y-axis. Then, use the slope to find another point on the line.
Since the slope is -3, this means that for every 1 unit increase in x, y will decrease by 3 units. Therefore, move 1 unit to the right and 3 units down from the y-intercept to plot the next point.
Connect the two points with a straight line to graph the equation y = -3x + 5. This line will have a negative slope, meaning it will slope downwards as you move from left to right.