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. Explain your answer.
The equation of the line in slope-intercept form is:
y = mx + b
Where:
m = slope
b = y-intercept
Given that the slope is undefined (i.e. vertical line) and the y-intercept is 5, the equation of the line is:
x = 5
To graph this equation, you can start by plotting the y-intercept at y = 5. Since the line is vertical, all the points on this line will have the same x-coordinate, which is 5. This means the line will be a vertical line passing through the point (5, 0) and (5, 10), and so on.
Graphing the equation using the slope and y-intercept helps you visualize the line on the coordinate plane and understand how it looks in relation to other points and lines.