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tamaranim1 [39]
3 years ago
6

Find the equation of the line that is perpendicular to y = -3/4 + 1 and contains the point 9,12. The answer must be a whole numb

er
Mathematics
1 answer:
Leviafan [203]3 years ago
6 0

Answer:

The perpendicular equation is y = 4/3x

Step-by-step explanation:

To find the equation perpendicular to this, we first need to look at the slope of the original line, which is -3/4. Perpendicular lines have opposite and reciprocal slopes, meaning that the new line would have 4/3 slope. Now we can use this and the point in point-slope form to get the final equation.

y - y1 = m(x - x1)

y - 12 = 4/3(x - 9)

y - 12 = 4/3x - 12

y = 4/3x

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y = mx + b

B is the y-intercept. In this equation the y intercept is 40. A y- intercept is where the graph crosses the y axis so at the point (0,40) the graph crosses the y axis.

M is the slope which is rise over run so if the slope was 10 (which it is) 10 is equivalent to 10/1 so you move up 10 units for every 1 unit you move across.

So to graph this equation, you would draw your first point at (0,40). For your next point, you would move right one unit, and up 10 units. Draw a point there which would be (1, 50). Hopefully you understand. For going left from the y intercept point, you would move left 1 and down 10.

Actual graph above.

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Answer:

That is a lot of questions to answer. But I will try.

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Second picture

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Third picture

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I'm sorry I have to go I would love to finish this but I hope what I gave helps you!

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