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Readme [11.4K]
3 years ago
13

What is an equation of the line that contains the point (3,-1) and is perpendicular to the line whose equation is y=-3x+2

Mathematics
1 answer:
yanalaym [24]3 years ago
5 0

Answer:

Equation of the line: 3y=x+10

Step-by-step explanation:

If an equation of a line is perpendicular, its gradient will be such that: m_1 \times m_2 = -1

Since the gradient /slope of the given equation can be inferred as -3, the gradient of the perpendicular line will be \frac{1}{3}.

Coordinates of a point on the line are (3,-1)

(y-y_1) = m(x-x_1)\\\\(y-3) = \frac{1}{3} (x+1)\\\\3(y-3) = (x+1)\\3y -9= x+1\\3y = x+1+9\\3y = x+10

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