Write an equation in point-slope form of the line that passes through the point (4,7) and has a slope of -1

Mathematics

1 answer:

monitta3 years ago

8 0

Answer:

3x+y=9 has slope -3. A line in the plane and parallel to the given equation's line also has slope -3. To also pass through a point (4,-7), the equation for this line is y%2B7=-3%28x-4%29, in the point-slope form.

Step-by-step explanation:

i hope this helps P. S Im still a Elementary hindi ko po alam lahat sorry

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The perimeter of a rectangular metal plate is 15 cm. Find the length of the rectangular plate (in decimals) whose width is 228 c

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The Solution.

Representing the problem in a diagram, we have

By formula,

$P=2(L+W)$

In this case,

$P=15\operatorname{cm},L=?,W=\frac{22}{8}cm$

Substituting these values in the formula above, we get

$15=2(L+\frac{22}{8})$

Clearing the bracket, we get

$15=2L+(2\times\frac{22}{8})$ $\begin{gathered} 15=2L+\frac{11}{2} \\ \\ 15=2L+5.5 \end{gathered}$ $\begin{gathered} 15-5.5=2L \\ 9.5=2L \end{gathered}$

Dividing both sides by 2, we get