Answer:
y-2 = 4/3(x+3) (point slope form)
y = 4/3x+6 slope intercept form
Step-by-step explanation:
We need to find the slope of the line 4x -3y =12
Solve for y
Subtract 4x from each side
4x-4x -3y = -4x +12
-3y = -4x+12
Divide by -3
-3y/-3 =-4x/-3 +12/-3
y = 4/3 x -4
The slope is 4/3
We want a line that is parallel, so it will have the same slope
We have the slope and a point, so we can use point slope form
y-y1 = m(x-x1)
y-2 = 4/3(x--3)
y-2 = 4/3(x+3)
Distribute
y-2 = 4/3x +4
Add 2 to each side
y-2+2 = 4/3x +4
y = 4/3x +4+2
y = 4/3x+6
Different points are used to identify the line, this can mean that both points lie on the same line.
Therefore the slope is the same because the line passes through both those points.
I got two solutions <span> n = 6<span> and n = -5</span></span>
Answer:
E
Step-by-step explanation: