Question

4. Explain how to graph the equation y = -2x + 3 *

Answer 1

Answer:

Step-by-step explanation:

Easy way: type the equation into a graphing calculator.

__

By hand: find a couple of points and draw a line through them.

The equation is in "slope-intercept" form:

  y = mx + b

where m is the slope (-2) and b is the y-intercept (3). The y-intercept is where the line crosses the y-axis, so right away you know one point on the line. That point is (0, 3).

The slope of -2 means for each horizontal unit, the line drops 2 units vertically. The point 1 unit to the right of (0, 3) is (1, 3); and the point 2 units below that is (1, 3-2) = (1, 1). So, another point on the line is (1, 1).

You can plot those two points and draw the line through them.