Graph the equation. y – 3 = –(x + 4) (1 point) Responses Image with alt text: A coordinate plane with a line with a decreasing slope through the points (negative 4, 6) and (4, 0). Image with alt text: A coordinate plane with a line with a decreasing slope through the points (negative 4, 3) and (2, negative 6). Image with alt text: A coordinate plane with a line with a decreasing slope through the points (negative 4, 0) and (2, negative 4). Image with alt text: A coordinate plane with a line with an increasing slope through the points (2, 0) and (negative 1, negative 6). Skip to navigation
The correct response is: Image with alt text: A coordinate plane with a line with a decreasing slope through the points (negative 4, 3) and (2, negative 6).
answer in abcd format
The correct response in ABCD format is C. Image with alt text: A coordinate plane with a line with a decreasing slope through the points (negative 4, 3) and (2, negative 6).
To graph the equation y - 3 = -(x + 4), we need to rearrange it in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
First, let's isolate y by adding 3 to both sides of the equation:
y - 3 + 3 = -(x + 4) + 3
Simplifying further, we have:
y = -x - 1
Now we can see that the slope is -1, which means that for every 1 unit increase in the x-coordinate, the y-coordinate decreases by 1.
To graph this equation, we'll plot two points on the coordinate plane and then draw a line through them.
Let's choose two random x-values and calculate the corresponding y-values to plot those points:
When x = -4:
y = -(-4) - 1 = 3 - 1 = 2
So, we have a point (-4, 2).
When x = 0:
y = -(0) - 1 = 0 - 1 = -1
So, we have a point (0, -1).
Now, we can plot these two points on the coordinate plane. The first point is (-4, 2) and the second point is (0, -1).
Finally, we connect these two points with a straight line to graph the equation.