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Sindrei [870]
3 years ago
10

What is the equation of the line that passes through point (-1,4) and is perpendicular to the following equation? y= -1/2x - 4

Mathematics
1 answer:
ruslelena [56]3 years ago
4 0

Answer:

y=2x-4

Step-by-step explanation:

To find an equation perpendicular to another one, you must find the negative inverse of the slope.

In this case, -1/2 has an inverse of -2, but because we're finding the negative inverse, the two negatives cancel out and we get 2, the slope of our perpendicular equation, which crosses the initial equation, making a right angle.

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Find x so that the two points are on the line with the given slope (1,-1) and (x,7): undefined
Annette [7]

Value of x for which the two points are on the line with the given slope (1,-1) and (x,7): undefined is x=1 .

<u>Step-by-step explanation:</u>

Here we have to Find x so that the two points are on the line with the given slope (1,-1) and (x,7): undefined . Let's find out:

We know that for any two points given as P(x_1,y_1),Q(x_2,Y_2)  slope of line is determined by :

⇒ Slope = \frac{y_2-y_1}{x_2-x_1}

According to question we have two points as  P(1,-1),Q(x,7) ∴

⇒ Slope = \frac{y_2-y_1}{x_2-x_1}

⇒ Slope = \frac{7-(-1)}{x-1}

But slope is undefined which is only possible when denominator is zero i.e.

⇒ x-1=0

⇒ x=1

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