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irinina [24]
1 year ago
9

Write an equation of the line that passes through the given point and has the given slope.

Mathematics
1 answer:
cricket20 [7]1 year ago
7 0

The equation of line passes through the point (4, 2) will be;

⇒ y = 12x - 46

What is Equation of line?

The equation of line in point-slope form passing through the points (x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (4, 2).

And, The slope = 12

Now,

Since, The equation of line passes through the point ( 4, 2).

And, The slope = 12

Thus, The equation of line with slope 12 is,

⇒ y - 2 = 12 (x - 4)

⇒ y - 2 = 12 (x - 4)

⇒ y - 2 = 12x - 48

⇒ y = 12x - 48 + 2

⇒ y = 12x - 46

Therefore, The equation of line passes through the point (4, 2) will be;

⇒ y = 12x - 46

Learn more about the equation of line visit:

brainly.com/question/18831322

#SPJ1

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We are trying to find the average speed of the plane, which is mph, or \dfrac{\textrm{miles}}{\textrm{hour}}. Using proportions, we can find the average speed of the plane in mph:

\dfrac{525 \,\, \textrm{miles}}{1.75 \,\,\textrm{hours}} = \dfrac{x \,\, \textrm{miles}}{1 \,\,\textrm{hour}}

  • Use the information from the problem to create a proportion. Remember that we are looking for mph, so we will call that x.

\dfrac{525}{1.75} \,\textrm{miles} = x \,\textrm{miles}

  • Multiply the entire equation by 1 \,\textrm{hour}

\dfrac{525}{1.75} = 300 = x

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The average speed of the plane is 300 mph.

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