Question

Write the equation of the line with x-intercept 3 and passing through the point (5,4).

A. y-2=1/2(x-4)
B. y+2=2(x+4)
C. y-2=2(x-4)
D. y-2=1/2(x-4)

Answer 1

C. y-2=2(x-4)

Explanation:

Answer 2

The straight line is given by the equation
y=kx+b
We substitute coordinates of points
0=3k+b (1)
4=5k+b (2)
We give a system of equations
Solution of this system:
(1) b=-3k
(2) 4=5k-3k
2k=4
k=2
b=-6
y=2x-6
y=2x-8+2
y-2=2(x-4) Answer C