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Elan Coil [88]
3 years ago
5

Through: (-1,4), parallel to y=-5x+2

Mathematics
1 answer:
Lina20 [59]3 years ago
7 0

The equation of line parallel to y=-5x+2 through: (-1,4)

y=-5x-1

Further explanation:

When the equation of line is given in slope-intercept form, the coefficient of x is the slope of the line.

Let

m1 be the slope of given line

and

m2 be the slope of line parallel to given line

Given equation of line is:

y=-5x+2

m_1= -5\\m_1=m_2=-5

The parallel lines have equal slopes.

The equation of new line can be written as:

y=m_2x+b\\y=-5x+b

For finding the value of b, lets put the point (-1,4) in equation

4=-5(-1)+b\\4=5+b\\b=4-5\\b=-1

The equation of line parallel to y=-5x+2 through: (-1,4)

y=-5x-1

Keywords: Parallel lines, Slope-intercept form

Learn more about point-slope form of equation of line at:

  • brainly.com/question/10364988
  • brainly.com/question/10541435

#LearnwithBrainly

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