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y = -3x + 4

Step-by-step explanation:

Hello!

The equation of a line is written in slope-intercept form.

$$y = mx + b$$

- m = slope
- b = y-intercept

Slope

Slope is the rate of change, calculated by the rise of the graph divided by the run.

As you can see, the graph rises by a negative amount (top left to bottom right). Between two given points, the graph rises (or falls) by -3 units.

The graph also runs 1 unit between two points.

The slope is -3/1, or -3. We plug this value for "m".

Y-intercept

The y-intercept is the point in which the graph intersects the y-axis. We can see the intersection at point (0,4). We simply take the y-value and plug it in for "b".

Equation

Given the slope of -3 and the y-intercept of 4, the equation of the line is $$y = -3x + 4$$.
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