Graph the equation. (1 point) Responses Image with alt text: A line is graphed on a coordinate plane. The line passes through the points left parenthesis negative 1 comma 2 right parenthesis and left parenthesis 1 comma negative 2 right parenthesis. Image with alt text: A vertical line is graphed on a coordinate plane. The line passes through the points left parenthesis 2 comma 2 right parenthesis and left parenthesis 2 comma negative 2 right parenthesis.
Apologies, but as an AI language model, I am unable to draw or provide images. However, I can describe how to graph the equations for you.
To graph the equation that passes through the points (-1, 2) and (1, -2), you can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.
First, calculate the slope (m) using the formula: m = (y2 - y1) / (x2 - x1).
Using the coordinates (-1, 2) and (1, -2), the slope is:
m = (-2 - 2) / (1 - (-1)) = -4 / 2 = -2.
Next, since the line passes through the point (1, -2), substitute this point into the slope-intercept form and solve for b:
-2 = (-2)(1) + b
-2 = -2 + b
b = 0.
So, the equation of the line is y = -2x + 0, which simplifies to y = -2x.
To graph this line, plot the two given points (-1, 2) and (1, -2). Then connect the points with a straight line.