What is the slope intercept form of the equation for the line containing (0,-3) with slope -1

Mathematics

1 answer:

AleksAgata [21]4 years ago

8 0

Answer:

y = -1(x) -3

Step-by-step explanation:

Note that the equation used is: y = mx + b

It is given that the slope is -1, and x = 0, y = -3. Solve for b. Plug the corresponding number for the corresponding variable:

-3 = -1(0) + b

Simplify.

-3 = 0 + b

b = -3

-3 is your b. Plug in -3 for b.

y = mx + b ⇒ y = -1(x) -3

y = -1(x) -3 is your answer.

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The perimeter of a triangle with two equal sides is 46 cm. If it's base were lengthened by 3 cm and each leg were shortened by 5

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Step-by-step explanation:

Let x cm be the length of the leg of the original triangle and y cm be the length of the base of the original triangle.

1. Since the perimeter of the original triangle is 46 cm, then

x+x+y=46.

2. If it's base were lengthened by 3 cm, then it becomes y+3 cm. If each leg were shortened by 5 cm, then each leg becomes x-5 cm. All three sides became equal, then

y+3=x-5.

3. Solve the system of two equations:

$\left\{\begin{array}{l}2x+y=46\\x-5=y+3\end{array}\right.\Rightarrow \left\{\begin{array}{l}2(y+8)+y=46\\x=y+8\end{array}\right.,\ 2y+y=46-16,\ 3y=30,\ y=10\ cm.$