find the equation of the line that has y intercept 4 and is parallel to the line y=3x-2
Answers
Answer :
y - 3x = 4
Explanation :
If a line is parallel to another line, this implies that steepness of both the lines is same i.e. slope of both the lines is equal.
Slope is the numeric description of the steepness of the a line from the x-axis.
Slope is denoted by 'm' and is the tangent of angle θ i.e tan θ = m .
Let's say the given equation of line be ' line a ' and it's parallel line ' line b '.
Straight line's general equation in terms of it's slope is given by :
- y = mx + c
The given equation of line a is y = 3x - 2. By comparing it with the general equation of straight line, we get :
- Slope of line b = 3
Slope of line a is equal to line b = 3.
Now we have information, that slope of a line is 3 and it's y intercept is 4 and we have to find it's equation.
We use the slope intercept form of straight line to find the required equation.
General slope point form of a line is given by,
- y = mx + c
Here,
- m = Slope
- c = y intercept
- x and y are variables
By substituting values of slope and y intercept in the general equation, we get :
- y = 3x + 4
Or in standard form,
- y - 3x = 4
This is the required equation.
