Answer:
the slope is 3/4
Step-by-step explanation:
the slope is 3/4 because 3 is the y line and 4 is the x line giving you 3/4 as your slope.
The slope of the line that is perpendicular to a line whose equation is 3y=−4x+2 is 3/4
The given line equation is:
3y = -4x + 2
Express the equation in the point-slope form of a line equation
The point-slope form of the equation of a line is y = mx + c
where m represents the slope
and c represents the y-intercept
3y = -4x + 2
[tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex]
Comparing the equation [tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex] with y = mx + c:
The slope, m = -4/3
The slope of the line perpendicular to [tex]y = \frac{-4}{3}x +\frac{2}{3}[/tex] will be:
[tex]m_2= \frac{-1}{m} \\\\m_2= \frac{-1}{\frac{-4}{3} }\\\\m_2 = \frac{3}{4}[/tex]
The slope of the line that is perpendicular to a line whose equation is 3y=−4x+2 is 3/4
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