Graph the equation. y – 3 = –(x + 4)
To graph the equation y - 3 = -(x + 4), we can first rearrange it into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
y - 3 = -(x + 4)
y = -x - 4 + 3
y = -x - 1
Now we have the equation in slope-intercept form. The slope is -1 and the y-intercept is -1. To graph the equation, start by plotting the y-intercept at -1 on the y-axis. Then use the slope of -1 to find another point on the line. The slope of -1 means that for every 1 unit increase in x, y will decrease by 1 unit.
Plot another point using the slope, for example if x = 0, y = -1 -0 = -1. Plot the point (0, -1).
Now draw a straight line through the two points to represent the graph of the equation y - 3 = -(x + 4).
The graph of the equation y - 3 = -(x + 4) is a straight line with a slope of -1 passing through the points (0, -1) and (-4, -3).