Question

a line is paralll yo 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:

$y = 4x-2$

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:

$y = m_2x+b$

Putting the value of slope

$y = 4x+b$

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

$-11 = 4(5) + b\\-11 = 20+b\\b = -11-20\\b = -31$

Putting the value of b

$y=4x-31$

Hence,

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

Keywords: Equation of line, slope

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