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sesenic [268]
3 years ago
5

Find the slope of the line using the slope formula. (-1 , 3 ) and ( -1, 0)

Mathematics
2 answers:
xenn [34]3 years ago
6 0

Answer:

Three ways to find the slope of a line: You may have two points #(x_1,y_1)# and #(x_2,y_2)# (often one or both of these points may be intercepts of the #x# and/or #y# axes). The slope is given by the equation. #m=(y_2-y_1)/(x_2-x_1)#. You may have a linear equation that is either in the form or can be manipulated into the form. #y = mx + b#.

Step-by-step explanation:

allochka39001 [22]3 years ago
5 0

Answer:

m=undefined

Step-by-step explanation:

The slope tells us the steepness and direction of a line. It is the change in y over the change in x.

m= \frac{y_2-y_1}{x_2-x_1}

In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through.

The points we are given are (-1, 3) and (-1, 0). If we match the number with the corresponding variable we see that:

  • x₁ = -1
  • y₁= 3
  • x₂= -1
  • y₂ = 0

Substitute the values into the formula.

m= \frac{ 0-3}{-1--1}

Solve the numerator.

  • 0-3 = -3

m= \frac{-3}{-1--1}

Solve the denominator.

  • -1--1= -1+1=0

m=\frac{3}{0}

Since we cannot divide a number by 0, the slope is <u>undefined</u>. Basically, this is a vertical line and all the points have the same x-coordinate.

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Answer:

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Step-by-step explanation:

In order to solve this equation, let's see what we already know.

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That's about it.

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The change in y between our two points is 2212-2017 = 195, and the change in x is 48 - 18 = 30. Our slope will then be \frac{195}{30}, which comes out to be approximately 6.5. Therefore, our slope is 6.5.

Now that we know the slope, we can substitute inside our equation in slope intercept form.

y = 6.5x+b

We have yet to find b, the y-intercept (how much the plane itself weighs). To find b, we can substitute a point on the graph into the equation and solve for b. We know that the point (18, 2017) is on the graph so let's use that.

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Now that we know our y-intercept is 1900, we can create our equation by using the slope and the y-intercept.

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Finally, to find the weight of the plane with 66 pounds of fuel, we can substitute 66 inside this equation as x.

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So the plane weighed 2329 pounds with 66 gallons of fuel.

Hope this helped!

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