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A line is perpendicular to y = -4x - 2
and intersects the point (0,9).
What is the equation of this
perpendicular line?
y= Hx+
x+ [ ]
Hint: Use the Point-Slope Form: y - y1 = m(x - x1)
x X1)
Then write the equation in slope-intercept form.
Plis help

A line is perpendicular to y 4x 2 and intersects the point 09 What is the equation of this perpendicular line y Hx x Hint Use the PointSlope Form y y1 mx x1 x X class=

Respuesta :

chetankachana

Answer:

y = 1/4x + 9

Step-by-step explanation:

Hello!

Equation of a line: y = mx + b

  • y = output
  • m = slope
  • x = input
  • b = y-intercept

A line that is perpendicular has the opposite reciprocal slope.

Since this line has the slope -4:

  • Opposite: 4
  • Reciprocal: 1/4

Our new line is y = 1/4x + b

Next, our line goes through point (0,9). This is our y-intercept, which can be used as our "b" value. Y -intercepts have an x-value of 0.

OUr equation is y = 1/4x + 9.

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