A line has a slope of -3 and a y-intercept of 5. Write the equation of the line in slopeintercept form and explain how you would use the slope and y-intercept to graph the equation (3 points )
The equation of the line in slope-intercept form is y = -3x + 5.
To graph this equation using the slope and y-intercept:
1. Start by plotting the y-intercept, which is the point (0, 5) on the y-axis.
2. Use the slope (-3) to find another point on the line. Since the slope is the ratio of the vertical change (rise) to the horizontal change (run), you can move down 3 units and right 1 unit to find another point on the line.
3. Connect the two points with a straight line to complete the graph of the equation y = -3x + 5.
By using the slope and y-intercept, you can easily graph the line and accurately represent its position on the coordinate plane.