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The slope is -3/4

The equation, in standard form, is 3/4x + y = 3

Step-by-step explanation:

Knowing the x-intercept and y-intercept on a graph, you can determine the slope of the line using the point-slope formula (y2-y1 / x2-x1). In this case, the x intercept represents the ordered pair (4,0), and the y-intercept represents the ordered pair (0,3). Given those numbers, you get (0-3) / (4-0), or -3/4. That's the slope.

Written in slope formula (y=mx+b),  you get y= -3/4x + 3. To write in standard form, isolate the integer by adding 3/4x to both sides. This gives you the answer of 3/4x + y = 3.

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step-by-step explanation: