Question

Through:(4,4),parallel to y=-6x +5

Answer 1

For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

`y = mx + b`

Where:

m: It's the slope

b: It is the cut-off point with the y axis

In this case we have the following equation of the line:

`y = -6x + 5`

Where:

`m = -6`

By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will have an equation of the form:

`y = -6x + b`

Substitute the given point
`(x, y) :( 4,4)`to find "b":

`4 = -6 (4) + b\\4 = -24 + b\\4 + 24 = b\\b = 28`

Finally, the equation of the requested line is:

`y = -6x + 28`

Answer:

`y = -6x + 28`