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What is the equation of the line that passes through the points (4,3) and (7,0)

User Qiang Li
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Final answer:

The equation of the line that passes through the points (4,3) and (7,0) is y = -x + 7.

Step-by-step explanation:

To find the equation of the line that passes through the points (4,3) and (7,0), we can use the point-slope formula:

y - y1 = m(x - x1)

Where (x1, y1) are the coordinates of one point and 'm' is the slope. First, we can find the slope:

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

Plugging in the values, we get:

m = (0 - 3) / (7 - 4) = -3/3 = -1

Now we can use one of the given points, say (4,3), and substitute the values into the formula:

y - 3 = -1(x - 4)

Simplifying, we get:

y - 3 = -x + 4

y = -x + 7

So, the equation of the line is y = -x + 7.

User Scottymeuk
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