Question

through: (-1,4), parallel to y=-5x+2
instructions: Write the point-slope form of the equation of the line described.

Answer 1

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

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