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.