Question
A line has a slope of negative 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 this equation, you can start by plotting the y-intercept, which is the point (0, 5). From there, you can use the slope of -3 to determine another point on the line. The slope tells you that for every 1 unit increase in x, the y-value decreases by 3 units. So, starting from the y-intercept of (0, 5), you can move 1 unit to the right and 3 units down to find another point on the line.
Repeat this process to find more points that lie on the line, and then connect the points to draw the line. This method allows you to accurately graph the line using the slope and y-intercept.