Answer:
B. y= 3x -14
Step-by-step explanation:
To find the equation of a line that is parallel to the line y = 3x - 4 and passe
through the point (4,-2), we will follow the steps below;
Equation of a line is y=mx + c
where m is the slope and c is the intercept
To find the slope of the new equation, we will compare y =mx + c and y=3x - 4
The slope of the equation y = 3x-4 is 3
line that are parallel have the same slope, so the slope of the new equation is also m = 3
To find the intercept, we will substitute x=4, y = -2 and m =4 into the formula y =mx + c then solve for c
That is;
y = mx + c
-2 = 3(4) + c
-2 = 12 + c
subtract 12 from both-side of the equation
-2-12 = 12-12 + c
-14 = c
c= -14
we can now substitute m and c into the formula to form the new equation
y = mx + c
y = 3x -14
