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ICE Princess25 [194]
3 years ago
15

PLEASEE HELPP!!!!

Mathematics
1 answer:
Alex73 [517]3 years ago
5 0

y = - \frac{1}{4} x + \frac{15}{2}

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = 4x + 5 is in this form with slope m - 4

Given the slope of a line m, then the slope (m_{2}) of a line perpendicular to it is

m_{2} = - (1 / m ) = - \frac{1}{4}

y = - \frac{1}{4} x + c is the partial equation of the perpendicular line

to find c, substitute ( 2, 7 ) into the partial equation

7 = - \frac{1}{2} + c ⇒ c = \frac{15}{2}

y = - \frac{1}{4} x + \frac{15}{2} ← equation of perp. line



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