Write the equation of the line that is parallel to the line Y=-4 and passes through the point (3,-5)

Question

Write the equation of the line that is parallel to the line Y=-4 and passes through the point (3,-5)

Answer 1

Hi Keith,

 

Here's a hint:

The slope of the line y=-4 is 0 (constant function, horizontal line).

Now, a parallel line must have the same slope...

 

Hope this helps!

Answer 2

Keith,

First, remember that any two parallel lines have identical slopes. Since your given line is y = -4, it is a horizontal line that intersects the y-axis at -4, so we already know a lot about the line we're trying to find. Remember that the slope-intercept form of a line looks like y = mx + b, but in this case our slope (m) is equal to zero, so we can omit it from the final slope-intercept formula.

 

So once we plug in the new value of y, which is -5, our new line equation will be:

 

y = 0x - 5, or

 

y = -5

 

Hope this helps!

 

Neal