Slope is –2 & (5, 3) is on the line. Y-Intercept: Equation of the line (no spaces):

Mathematics

1 answer:

insens350 [35]3 years ago

3 0

Answer:

y-int: (0, 13)

Equation: y = -2x + 13

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m = slope

b = y-intercept

Step 1: Define variables

m = -2

Random point (5, 3)

Step 2: Plug in known variables

y = -2x + b

Step 3: Find y-intercept b

3 = -2(5) + b

3 = -10 + b

b = 13

Step 4: Rewrite equation

y = -2x + 13

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The slide needs to be 4.123 meters

Step-by-step explanation:

Length for the ladder- 1 mtr

Distance of the bottom of the slide from the ladder- 4 mtr

Length of the slide needed

We can view the whole set up in the form of a right-angled triangle with the base representing the slide distance from the ladder, ladder length representing altitude and slide length representing as hypotenuse (As provided in the diagram)

For right-angled triangle we know from Pythagoras theorem-

Base² + altitude²= hypotenuse ²

Substituting the values of base as 4 mtr and altitude as 1 m

(Hypotenuse)²= 17

∴ Hypotenuse (slide length) =4.123 mtr

∴ Length of the slide needed= 4.123 meters