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y = -20x + 700 interpret the slope.

Question

y = -20x + 700 interpret the slope.

Explanation:

Step1: Recall slope-intercept form

The slope - intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.
In the given equation $y=-20x + 700$, comparing with $y = mx + b$, we can see that $m=-20$.

Step2: Interpret the slope

The slope $m=-20$ means that for every 1 - unit increase in the value of $x$, the value of $y$ decreases by 20 units. In the context of a real - world situation (if $x$ and $y$ represent real - world quantities), as the independent variable $x$ changes by 1, the dependent variable $y$ changes by - 20 (a decrease of 20).

Answer:

The slope of the line represented by the equation $y = - 20x+700$ is - 20. This means that for each unit increase in the value of $x$, the value of $y$ decreases by 20 units.