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Gennadij [26K]
3 years ago
12

33 points!! The line contains the point (4,-2) and is perpendicular to 4x+3y=-6 The equation of the line is:

Mathematics
1 answer:
Deffense [45]3 years ago
5 0

Answer:

y = 3/4 x - 5

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals. We find the slope of the given line. Then we can find the slope of the reciprocal.

4x + 3y = -6

Solve for y.

3y = -4x - 6

y = -4/3 x - 2

The slope of the original line is -4/3.

The slope of the perpendicular is 3/4.

Now we need to find the equation of line with slope 3/4 that contains point (4, -2).

y = mx + b

-2 = (3/4)(4) + b

-2 = 3 + b

-5 = b

b = -5

The equation is

y = 3/4 x - 5

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4.-

4a.                     72

                       _<u>x 9</u>

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4b. The error this student is doing is that he multiplies the first number but he must add the decenes of this result to the result of the multiplication of the second number and he is not doing that.

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   b) If the are decenes add then to the units of the result of the multiplication of the second number.

Example                                

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