A line has a slope of 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 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 , and the y-intercept is 5, the equation of the line would be y = x + 5.
To graph this equation, you can start by plotting the y-intercept, which is the point (0,5) on the y-axis. Then, you can use the slope to find another point on the line.
Since the slope is , it means that for every increase of 1 in the x-coordinate, the y-coordinate increases by . You can use this information to plot another point on the line. For example, if you move 1 unit to the right from the y-intercept (0,5), you will move up to the point (1,6).
Once you have these two points, you can draw a straight line through them to graph the equation y = x + 5.