how would you make an equation for a decreasing linear relation?

Use any equation of the y = mx + b form for which b is a negative number

y=-2x+7

To create an equation for a decreasing linear relation, you need two key pieces of information: the slope (rate of decrease) and the y-intercept (starting point).

1. Determine the slope: The slope represents the rate at which the line decreases. It can be calculated by finding the difference in the y-values (vertical change) divided by the difference in the x-values (horizontal change) between two points on the line. Take a pair of points (x1, y1) and (x2, y2) on the line and use the formula:

slope = (y2 - y1) / (x2 - x1)

2. Determine the y-intercept: The y-intercept is the point where the line intersects the y-axis. In a decreasing linear relation, the y-intercept will be the highest value on the y-axis. You can determine the y-intercept by observing the highest point on the graph or by substituting the x-value of any point on the line into the equation and solving for the y-value.

3. Write the equation: Once you have the slope and y-intercept, you can write the equation of the line using the slope-intercept form: y = mx + b. "m" represents the slope, and "b" represents the y-intercept.

Substitute the values you found for the slope and y-intercept into the formula to obtain the equation. If the slope is negative (indicating a decreasing line), make sure to include a negative sign in front of the slope.

For example, if you have a slope of -2 and a y-intercept of 5, the equation for the decreasing linear relation would be: y = -2x + 5.