Question

A line is parallel to y= 4x-2 and intersects the point (5,-11). what is the equation of this parallel line?

Answer 1

The equation of line parallel to given line is: y=4x-31

Step-by-step explanation:

Given equation of line is:

The equation of line is in slope-intercept form so the co-efficient of x is the slope of the line.

Let m1 be the slope of the given line

then

m1 = 4

Let m2 be the line that is parallel to given line

As we know that the slopes of parallel lines is equal so

m1=m2 = 4

The slope-intercept form of equation of line is:

Putting the value of slope

to find the value of b, putting (5,-11) in the equation

Putting the value of b

Hence,

The equation of line parallel to given line is: y=4x-31

Keywords: Equation of line, slope

Answer 2

Answer:

z=−4x+y

Step-by-step explanation:

in place of the "?" i put a Z

y=4x+z

Let's solve for z.

y=4x+z

Step 1: Flip the equation.

4x+z=y

Step 2: Add -4x to both sides.

4x+z+−4x=y+−4x

z=−4x+y

Answer:

z=−4x+y

m Im not exactly sure if this is what your looking for and if it isn't, I'm sorry.