This is a linear equation in slope-intercept form, where y represents the dependent variable and x represents the independent variable.
To graph this equation, you can use the slope and y-intercept.
Slope: The coefficient of x in the equation is 2, so the slope is 2. This means for every unit increase in x, y increases by 2.
Y-intercept: The constant term in the equation is -15, so the y-intercept is -15. This is the value of y when x is zero.
To graph this equation, follow these steps:
Plot the y-intercept: Start by marking the point (0, -15) on the graph.
Use the slope to find a second point: Since the slope is 2, for every 1 unit increase in x, there is a 2 unit increase in y. So, from the y-intercept point, move 1 unit to the right and 2 units up, and mark that point on the graph.
Connect the two points: Draw a straight line passing through the two points you marked. This line represents the graph of the equation y = 2x - 15.
Note that you can continue this process to plot more points if needed, but two points are sufficient to determine a line.
Remember, this graph shows all the possible values of x and y that satisfy the equation.
