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 the equation using the slope and y-intercept:
1. Start by plotting the y-intercept, which is 5. This is the point where the line crosses the y-axis.
2. Use the slope, which is -3, to find another point on the line. The slope tells us that for every 1 unit increase in x, the y-value decreases by 3 units. So, from the y-intercept (0, 5), move down 3 units and right 1 unit to find another point on the line. This point will be (1, 2).
3. Connect the two points on the graph to draw the line.
By plotting the y-intercept and using the slope to find another point, you can accurately graph the line using the equation in slope-intercept form.