graph the equation and identify the y intercepts y + x = -10
To graph the equation y + x = -10 and identify the y-intercepts, we need to rearrange the equation into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Starting from the given equation:
y + x = -10
Let's isolate y on one side by subtracting x from both sides:
y = -x - 10
Now that we have the equation in slope-intercept form, we can easily identify the y-intercept, which is the value of y when x = 0. In this case, the y-intercept is -10.
To graph the equation, we can start by plotting the y-intercept (-10) on the y-axis. Then, using the slope, we can find additional points and connect them to form a straight line.
Since the equation y = -x - 10 has a slope of -1, which means that for every unit increase in x, y decreases by 1, we can choose any x-values and calculate the corresponding y-values. However, it's easier in this case to use x = 0 and x = 1.
When x = 0:
y = -0 - 10
y = -10
When x = 1:
y = -1 - 10
y = -11
Now we have two points: (0, -10) and (1, -11). Plot these points on the graph and draw a straight line passing through them. The line will represent the graph of the equation y + x = -10.
The graph of the equation y + x = -10 will look like a straight line crossing the y-axis at y = -10.