how do u do graph x+2y = -2 and y=-1/2x - 1

Answer 1

To graph the equations x + 2y = -2 and y = -1/2x - 1, we can rearrange them into slope-intercept form (y = mx + b) where m is the slope and b is the y-intercept.

1. x + 2y = -2:
Rearrange the equation to isolate y:
2y = -x - 2
y = -1/2x - 1

2. y = -1/2x - 1:
y-intercept: -1
slope: -1/2

To graph the first equation x + 2y = -2:
1. Plot the y-intercept of -1 on the y-axis.
2. Use the slope of -1/2 to find another point and plot it.
3. Draw a line through the two points to represent the graph of the equation.

To graph the second equation y = -1/2x - 1:
1. Plot the y-intercept of -1 on the y-axis.
2. Use the slope of -1/2 to find another point and plot it.
3. Draw a line through the two points to represent the graph of the equation.

The two lines will intersect at a point where they share the same x and y values. This point represents the solution to the system of equations formed by x + 2y = -2 and y = -1/2x - 1.