Question

Write an equation of the line that passes through the given point and is parallel to the given line.

Answer 1

the equation of line passing through given point parallel to y = -2x+7 is: $y = -2x+9$

Step-by-step explanation:

Given equation of line is:

$y = -2x+7$

As the given line is in slope intercept form, the coefficient of x is the slope

Let m1 be the slope of given line

$m_1 = -2$

Let m2 be the slope of second line then

$m_2= -2$

The equation of line is given by:

$y= m_2x+b$

Putting the value of slope

$y = -2x+b$

Putting the point (4,1) in the equation

$y = -2x+b\\1 = -2(4)+b\\1= -8+b\\b = 1+8\\b = 9$

Putting the value of b in the equation

$y = -2x+9$

Hence,

the equation of line passing through given point parallel to y = -2x+7 is: $y = -2x+9$

Keywords: Slope, intercepts

Learn more about slope at:

• brainly.com/question/664010
• brainly.com/question/6594923

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