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y = -3x + 7

Step-by-step explanation:

To start with the slope, given by two points on the graph:

(0, 7) and (1, 4):  

Let x1 = 0

x2 = 1

y1 = 7

y2 = 4

We can use the following slope formula:

It is a negative slope because it is sloping downwards.

Now that we have our slope, we can move on to the y-intercept, ( b ). The y-intercept is the value of y when the value of x = 0.  Looking at the graph, we can see that the y-intercept is (0, 7). It is usually the point where it touches the y-axis.

Now that we have our slope (m ) and y-intercept ( b ), we can establish our linear equation in the slope-intercept form, y = mx + b:

y = -3x + 7

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step-by-step explanation: