Answer:
C) 4x-y=14
Step-by-step explanation:
The two points this line goes through are (4, 2) and (6, 10). We will first find the slope, using the formula
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Using the values for our points, we have
m = (10-2)/(6-4) = 8/2 = 4
Next we plug this into point slope form,
[tex]y-y_1=m(x-x_1)[/tex]
y-2 = 4(x-4)
Using the distributive property on the right, we have
y-2 = 4(x)-4(4)
y-2 = 4x-16
Add 2 to each side:
y-2+2 = 4x-16+2
y = 4x-14
Add 14 to each side:
y+14 = 4x-14+14
y+14 = 4x
Subtract y from each side:
y+14-y = 4x-y
14 = 4x-y
This can also be written as 4x-y = 14.
