Question

An equation of line parallel to y=-3x–4?

I just need any equation of parallel line to y=-3x-4

Answer 1

`y = -3x + c_1` where `c_1 != -4`.

Explanation:

First of all, We need to check that if the equation is in Slope-Intercept form or not. If it isn't, then we will convert it.

The Slope-Intercept Form of a Linear Equation is `y = mx + c`;

Where, `m` is the slope of the line, and `c` is the y-intercept.

Here, The equation is in Slope-Intercept Form.

So, `y = (-3)x + (-4)`

Now, The Condition of two lines to be parallel in a 2D Plane is,

`m_1 = m_2` where `m_1` and `m_2` are the slopes of the equations of the lines respectively.

Here, `m_1 = -3` [Slope of the given Line]

If we assume the equation of the parallel line to be `y= m_2x + c_1`,

Then `m_2 = -3`.

We don't have enough data to find the `c_1` though.

So,

The final equation is:

`y = -3x + c_1` where `c_1 != -4` [Or else the lines will coincide.]

Hope this helps.