To graph the reciprocal of y = -1/2x + 1, we first need to find the reciprocal of the equation.
The reciprocal of a fraction is found by interchanging the numerator and the denominator. Thus, the reciprocal of -1/2 is -2/1, which can also be written as -2.
So, the reciprocal of y = -1/2x + 1 is given by y = -2x + 1.
Now, let's graph this equation:
First, find the x and y-intercepts:
When x = 0, y = -2(0) + 1 = 1. So, the y-intercept is (0,1).
When y = 0, -2x + 1 = 0. Solving for x, we get -2x = -1, x = 1/2. So, the x-intercept is (1/2, 0).
Next, choose a few more points to graph the line. For example, if we let x = -1, then y = -2(-1) + 1 = 3. Giving us the point (-1, 3). If x = 1, then y = -2(1) + 1 = -1. So, the point (1, -1) is another point on the line.
We can now plot these points on the graph and draw a line passing through them:
Here is a graph of the reciprocal equation y = -2x + 1:
Graph Image: https://drive.google.com/file/d/1l4aRNd1SvuuW8GG7wPiKkDL6hvH3ic7b/view?usp=sharing
graph the reciprocal of
y= - 1/2 x +1
1 answer