Through (4, 3), m = - 3
A) y = -3x+1/15
B) y = -1/3x + 15
C) y = -3x + 15
D) y = -3x - 15
(4,3(, m = -3.
Y = mx + b = 3
-3*4 + b = 3
-12 + b = 3
b = 3 + 12 = 15.
Y = -3x + 15.
To find the equation of a line using a point and slope, you can use the point-slope form of the equation:
y - y1 = m(x - x1)
Where (x1, y1) is the given point, and m is the slope.
In this case, the given point is (4, 3), and the slope is -3. Plugging these values into the equation:
y - 3 = -3(x - 4)
Simplifying, we have:
y - 3 = -3x + 12
Next, we can isolate y by adding 3 to both sides:
y = -3x + 15
So, the correct equation for the line passing through (4, 3) with a slope of -3 is y = -3x + 15.
Therefore, the correct answer is option C) y = -3x + 15.